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Finding the Third Proportional to 681,710 and 1,036,730

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Solution

The third proportional to 681,710 and 1,036,730 is: 1,576,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,710 : 1,036,730 = 1,036,730 : x
  2. Step 2: Convert to fraction form
    681,710/1,036,730 = 1,036,730/x
  3. Step 3: Cross multiply
    681,710x = 1,036,730 × 1,036,730
  4. Step 4: Simplify right side
    681,710x = 1,074,809,092,900
  5. Step 5: Solve for x
    x = 1,074,809,092,900/681,710
  6. Step 6: Final answer
    x = 1,576,636.83

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.