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Finding the Third Proportional to 709,566 and 1,037,940

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Solution

The third proportional to 709,566 and 1,037,940 is: 1,518,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,566 : 1,037,940 = 1,037,940 : x
  2. Step 2: Convert to fraction form
    709,566/1,037,940 = 1,037,940/x
  3. Step 3: Cross multiply
    709,566x = 1,037,940 × 1,037,940
  4. Step 4: Simplify right side
    709,566x = 1,077,319,443,600
  5. Step 5: Solve for x
    x = 1,077,319,443,600/709,566
  6. Step 6: Final answer
    x = 1,518,279.40

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.