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Finding the Third Proportional to 709,867.13 and 1,539,506.25

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Solution

The third proportional to 709,867.13 and 1,539,506.25 is: 3,338,764.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,867.13 : 1,539,506.25 = 1,539,506.25 : x
  2. Step 2: Convert to fraction form
    709,867.13/1,539,506.25 = 1,539,506.25/x
  3. Step 3: Cross multiply
    709,867.13x = 1,539,506.25 × 1,539,506.25
  4. Step 4: Simplify right side
    709,867.13x = 2,370,079,493,789.06
  5. Step 5: Solve for x
    x = 2,370,079,493,789.06/709,867.13
  6. Step 6: Final answer
    x = 3,338,764.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.