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Finding the Third Proportional to 1,058,940 and 1,598,211

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Solution

The third proportional to 1,058,940 and 1,598,211 is: 2,412,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,940 : 1,598,211 = 1,598,211 : x
  2. Step 2: Convert to fraction form
    1,058,940/1,598,211 = 1,598,211/x
  3. Step 3: Cross multiply
    1,058,940x = 1,598,211 × 1,598,211
  4. Step 4: Simplify right side
    1,058,940x = 2,554,278,400,521
  5. Step 5: Solve for x
    x = 2,554,278,400,521/1,058,940
  6. Step 6: Final answer
    x = 2,412,108.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.