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Finding the Third Proportional to 423,049,074 and 896,887,524

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Solution

The third proportional to 423,049,074 and 896,887,524 is: 1,901,451,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,049,074 : 896,887,524 = 896,887,524 : x
  2. Step 2: Convert to fraction form
    423,049,074/896,887,524 = 896,887,524/x
  3. Step 3: Cross multiply
    423,049,074x = 896,887,524 × 896,887,524
  4. Step 4: Simplify right side
    423,049,074x = 804,407,230,706,850,560
  5. Step 5: Solve for x
    x = 804,407,230,706,850,560/423,049,074
  6. Step 6: Final answer
    x = 1,901,451,344.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.