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Finding the Third Proportional to 2,711,818.50 and 3,970,689

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Solution

The third proportional to 2,711,818.50 and 3,970,689 is: 5,813,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,818.50 : 3,970,689 = 3,970,689 : x
  2. Step 2: Convert to fraction form
    2,711,818.50/3,970,689 = 3,970,689/x
  3. Step 3: Cross multiply
    2,711,818.50x = 3,970,689 × 3,970,689
  4. Step 4: Simplify right side
    2,711,818.50x = 15,766,371,134,721
  5. Step 5: Solve for x
    x = 15,766,371,134,721/2,711,818.50
  6. Step 6: Final answer
    x = 5,813,947.78

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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.