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Finding the Third Proportional to 732,804 and 1,165,707

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Solution

The third proportional to 732,804 and 1,165,707 is: 1,854,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,804 : 1,165,707 = 1,165,707 : x
  2. Step 2: Convert to fraction form
    732,804/1,165,707 = 1,165,707/x
  3. Step 3: Cross multiply
    732,804x = 1,165,707 × 1,165,707
  4. Step 4: Simplify right side
    732,804x = 1,358,872,809,849
  5. Step 5: Solve for x
    x = 1,358,872,809,849/732,804
  6. Step 6: Final answer
    x = 1,854,346.88

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Why These Related Problems?

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