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Finding the Third Proportional to 732,806 and 1,165,710

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Solution

The third proportional to 732,806 and 1,165,710 is: 1,854,351.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,806 : 1,165,710 = 1,165,710 : x
  2. Step 2: Convert to fraction form
    732,806/1,165,710 = 1,165,710/x
  3. Step 3: Cross multiply
    732,806x = 1,165,710 × 1,165,710
  4. Step 4: Simplify right side
    732,806x = 1,358,879,804,100
  5. Step 5: Solve for x
    x = 1,358,879,804,100/732,806
  6. Step 6: Final answer
    x = 1,854,351.36

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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.