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Finding the Third Proportional to 3,912,563.25 and 5,985,545.63

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Solution

The third proportional to 3,912,563.25 and 5,985,545.63 is: 9,156,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912,563.25 : 5,985,545.63 = 5,985,545.63 : x
  2. Step 2: Convert to fraction form
    3,912,563.25/5,985,545.63 = 5,985,545.63/x
  3. Step 3: Cross multiply
    3,912,563.25x = 5,985,545.63 × 5,985,545.63
  4. Step 4: Simplify right side
    3,912,563.25x = 35,826,756,428,956.64
  5. Step 5: Solve for x
    x = 35,826,756,428,956.64/3,912,563.25
  6. Step 6: Final answer
    x = 9,156,850.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.