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Finding the Third Proportional to 750,511.50 and 1,650,472.88

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Solution

The third proportional to 750,511.50 and 1,650,472.88 is: 3,629,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,511.50 : 1,650,472.88 = 1,650,472.88 : x
  2. Step 2: Convert to fraction form
    750,511.50/1,650,472.88 = 1,650,472.88/x
  3. Step 3: Cross multiply
    750,511.50x = 1,650,472.88 × 1,650,472.88
  4. Step 4: Simplify right side
    750,511.50x = 2,724,060,711,110.77
  5. Step 5: Solve for x
    x = 2,724,060,711,110.77/750,511.50
  6. Step 6: Final answer
    x = 3,629,605.56

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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.