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Finding the Third Proportional to 538,660.13 and 1,156,701.38

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Solution

The third proportional to 538,660.13 and 1,156,701.38 is: 2,483,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,660.13 : 1,156,701.38 = 1,156,701.38 : x
  2. Step 2: Convert to fraction form
    538,660.13/1,156,701.38 = 1,156,701.38/x
  3. Step 3: Cross multiply
    538,660.13x = 1,156,701.38 × 1,156,701.38
  4. Step 4: Simplify right side
    538,660.13x = 1,337,958,070,926.89
  5. Step 5: Solve for x
    x = 1,337,958,070,926.89/538,660.13
  6. Step 6: Final answer
    x = 2,483,863.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.