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Finding the Third Proportional to 689,240,330,604 and 1,058,757,537,186

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Solution

The third proportional to 689,240,330,604 and 1,058,757,537,186 is: 1,626,381,209,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,240,330,604 : 1,058,757,537,186 = 1,058,757,537,186 : x
  2. Step 2: Convert to fraction form
    689,240,330,604/1,058,757,537,186 = 1,058,757,537,186/x
  3. Step 3: Cross multiply
    689,240,330,604x = 1,058,757,537,186 × 1,058,757,537,186
  4. Step 4: Simplify right side
    689,240,330,604x = 1,120,967,522,548,164,201,545,728
  5. Step 5: Solve for x
    x = 1,120,967,522,548,164,201,545,728/689,240,330,604
  6. Step 6: Final answer
    x = 1,626,381,209,535.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.