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Finding the Third Proportional to 653,885.58 and 1,385,557.73

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Solution

The third proportional to 653,885.58 and 1,385,557.73 is: 2,935,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,885.58 : 1,385,557.73 = 1,385,557.73 : x
  2. Step 2: Convert to fraction form
    653,885.58/1,385,557.73 = 1,385,557.73/x
  3. Step 3: Cross multiply
    653,885.58x = 1,385,557.73 × 1,385,557.73
  4. Step 4: Simplify right side
    653,885.58x = 1,919,770,235,286.38
  5. Step 5: Solve for x
    x = 1,919,770,235,286.38/653,885.58
  6. Step 6: Final answer
    x = 2,935,942.16

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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.