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Finding the Third Proportional to 717,542,478.49 and 1,123,149,956.24

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Solution

The third proportional to 717,542,478.49 and 1,123,149,956.24 is: 1,758,036,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,542,478.49 : 1,123,149,956.24 = 1,123,149,956.24 : x
  2. Step 2: Convert to fraction form
    717,542,478.49/1,123,149,956.24 = 1,123,149,956.24/x
  3. Step 3: Cross multiply
    717,542,478.49x = 1,123,149,956.24 × 1,123,149,956.24
  4. Step 4: Simplify right side
    717,542,478.49x = 1,261,465,824,198,095,360
  5. Step 5: Solve for x
    x = 1,261,465,824,198,095,360/717,542,478.49
  6. Step 6: Final answer
    x = 1,758,036,439.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.