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Finding the Third Proportional to 516,215.53 and 1,107,140.91

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Solution

The third proportional to 516,215.53 and 1,107,140.91 is: 2,374,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,215.53 : 1,107,140.91 = 1,107,140.91 : x
  2. Step 2: Convert to fraction form
    516,215.53/1,107,140.91 = 1,107,140.91/x
  3. Step 3: Cross multiply
    516,215.53x = 1,107,140.91 × 1,107,140.91
  4. Step 4: Simplify right side
    516,215.53x = 1,225,760,986,292.07
  5. Step 5: Solve for x
    x = 1,225,760,986,292.07/516,215.53
  6. Step 6: Final answer
    x = 2,374,513.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.