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Finding the Third Proportional to 461,710.13 and 987,286.22

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Solution

The third proportional to 461,710.13 and 987,286.22 is: 2,111,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,710.13 : 987,286.22 = 987,286.22 : x
  2. Step 2: Convert to fraction form
    461,710.13/987,286.22 = 987,286.22/x
  3. Step 3: Cross multiply
    461,710.13x = 987,286.22 × 987,286.22
  4. Step 4: Simplify right side
    461,710.13x = 974,734,077,733.67
  5. Step 5: Solve for x
    x = 974,734,077,733.67/461,710.13
  6. Step 6: Final answer
    x = 2,111,138.62

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Why These Related Problems?

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