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Finding the Third Proportional to 971,686.13 and 2,258,857.13

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Solution

The third proportional to 971,686.13 and 2,258,857.13 is: 5,251,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,686.13 : 2,258,857.13 = 2,258,857.13 : x
  2. Step 2: Convert to fraction form
    971,686.13/2,258,857.13 = 2,258,857.13/x
  3. Step 3: Cross multiply
    971,686.13x = 2,258,857.13 × 2,258,857.13
  4. Step 4: Simplify right side
    971,686.13x = 5,102,435,511,163.27
  5. Step 5: Solve for x
    x = 5,102,435,511,163.27/971,686.13
  6. Step 6: Final answer
    x = 5,251,114.92

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.