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Finding the Third Proportional to 1,145,932.50 and 2,428,467

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Solution

The third proportional to 1,145,932.50 and 2,428,467 is: 5,146,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145,932.50 : 2,428,467 = 2,428,467 : x
  2. Step 2: Convert to fraction form
    1,145,932.50/2,428,467 = 2,428,467/x
  3. Step 3: Cross multiply
    1,145,932.50x = 2,428,467 × 2,428,467
  4. Step 4: Simplify right side
    1,145,932.50x = 5,897,451,970,089
  5. Step 5: Solve for x
    x = 5,897,451,970,089/1,145,932.50
  6. Step 6: Final answer
    x = 5,146,421.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.