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Finding the Third Proportional to 1,857,732.75 and 4,092,595.88

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Solution

The third proportional to 1,857,732.75 and 4,092,595.88 is: 9,016,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,732.75 : 4,092,595.88 = 4,092,595.88 : x
  2. Step 2: Convert to fraction form
    1,857,732.75/4,092,595.88 = 4,092,595.88/x
  3. Step 3: Cross multiply
    1,857,732.75x = 4,092,595.88 × 4,092,595.88
  4. Step 4: Simplify right side
    1,857,732.75x = 16,749,340,996,067.02
  5. Step 5: Solve for x
    x = 16,749,340,996,067.02/1,857,732.75
  6. Step 6: Final answer
    x = 9,016,012.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.