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Finding the Third Proportional to 433,719,162 and 660,748,049

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Solution

The third proportional to 433,719,162 and 660,748,049 is: 1,006,614,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,719,162 : 660,748,049 = 660,748,049 : x
  2. Step 2: Convert to fraction form
    433,719,162/660,748,049 = 660,748,049/x
  3. Step 3: Cross multiply
    433,719,162x = 660,748,049 × 660,748,049
  4. Step 4: Simplify right side
    433,719,162x = 436,587,984,257,306,432
  5. Step 5: Solve for x
    x = 436,587,984,257,306,432/433,719,162
  6. Step 6: Final answer
    x = 1,006,614,469.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.