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Finding the Third Proportional to 732,810 and 1,165,708

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Solution

The third proportional to 732,810 and 1,165,708 is: 1,854,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,810 : 1,165,708 = 1,165,708 : x
  2. Step 2: Convert to fraction form
    732,810/1,165,708 = 1,165,708/x
  3. Step 3: Cross multiply
    732,810x = 1,165,708 × 1,165,708
  4. Step 4: Simplify right side
    732,810x = 1,358,875,141,264
  5. Step 5: Solve for x
    x = 1,358,875,141,264/732,810
  6. Step 6: Final answer
    x = 1,854,334.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.