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Finding the Third Proportional to 709,470 and 1,101,512

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Solution

The third proportional to 709,470 and 1,101,512 is: 1,710,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,470 : 1,101,512 = 1,101,512 : x
  2. Step 2: Convert to fraction form
    709,470/1,101,512 = 1,101,512/x
  3. Step 3: Cross multiply
    709,470x = 1,101,512 × 1,101,512
  4. Step 4: Simplify right side
    709,470x = 1,213,328,686,144
  5. Step 5: Solve for x
    x = 1,213,328,686,144/709,470
  6. Step 6: Final answer
    x = 1,710,190.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.