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Finding the Third Proportional to 2,695,098 and 3,942,322.50

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Solution

The third proportional to 2,695,098 and 3,942,322.50 is: 5,766,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695,098 : 3,942,322.50 = 3,942,322.50 : x
  2. Step 2: Convert to fraction form
    2,695,098/3,942,322.50 = 3,942,322.50/x
  3. Step 3: Cross multiply
    2,695,098x = 3,942,322.50 × 3,942,322.50
  4. Step 4: Simplify right side
    2,695,098x = 15,541,906,694,006.25
  5. Step 5: Solve for x
    x = 15,541,906,694,006.25/2,695,098
  6. Step 6: Final answer
    x = 5,766,731.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.