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Finding the Third Proportional to 865,171.13 and 1,863,463.50

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Solution

The third proportional to 865,171.13 and 1,863,463.50 is: 4,013,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,171.13 : 1,863,463.50 = 1,863,463.50 : x
  2. Step 2: Convert to fraction form
    865,171.13/1,863,463.50 = 1,863,463.50/x
  3. Step 3: Cross multiply
    865,171.13x = 1,863,463.50 × 1,863,463.50
  4. Step 4: Simplify right side
    865,171.13x = 3,472,496,215,832.25
  5. Step 5: Solve for x
    x = 3,472,496,215,832.25/865,171.13
  6. Step 6: Final answer
    x = 4,013,652.46

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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.