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Finding the Third Proportional to 732,798 and 1,165,689

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Solution

The third proportional to 732,798 and 1,165,689 is: 1,854,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,798 : 1,165,689 = 1,165,689 : x
  2. Step 2: Convert to fraction form
    732,798/1,165,689 = 1,165,689/x
  3. Step 3: Cross multiply
    732,798x = 1,165,689 × 1,165,689
  4. Step 4: Simplify right side
    732,798x = 1,358,830,844,721
  5. Step 5: Solve for x
    x = 1,358,830,844,721/732,798
  6. Step 6: Final answer
    x = 1,854,304.79

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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.