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Finding the Third Proportional to 767,107.13 and 1,615,087.69

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Solution

The third proportional to 767,107.13 and 1,615,087.69 is: 3,400,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,107.13 : 1,615,087.69 = 1,615,087.69 : x
  2. Step 2: Convert to fraction form
    767,107.13/1,615,087.69 = 1,615,087.69/x
  3. Step 3: Cross multiply
    767,107.13x = 1,615,087.69 × 1,615,087.69
  4. Step 4: Simplify right side
    767,107.13x = 2,608,508,238,314.10
  5. Step 5: Solve for x
    x = 2,608,508,238,314.10/767,107.13
  6. Step 6: Final answer
    x = 3,400,448.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.