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Finding the Third Proportional to 981,906,577 and 1,471,423,534

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Solution

The third proportional to 981,906,577 and 1,471,423,534 is: 2,204,982,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,906,577 : 1,471,423,534 = 1,471,423,534 : x
  2. Step 2: Convert to fraction form
    981,906,577/1,471,423,534 = 1,471,423,534/x
  3. Step 3: Cross multiply
    981,906,577x = 1,471,423,534 × 1,471,423,534
  4. Step 4: Simplify right side
    981,906,577x = 2,165,087,216,409,049,088
  5. Step 5: Solve for x
    x = 2,165,087,216,409,049,088/981,906,577
  6. Step 6: Final answer
    x = 2,204,982,904.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.