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Finding the Third Proportional to 454,462,922 and 981,567,076

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Solution

The third proportional to 454,462,922 and 981,567,076 is: 2,120,027,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,462,922 : 981,567,076 = 981,567,076 : x
  2. Step 2: Convert to fraction form
    454,462,922/981,567,076 = 981,567,076/x
  3. Step 3: Cross multiply
    454,462,922x = 981,567,076 × 981,567,076
  4. Step 4: Simplify right side
    454,462,922x = 963,473,924,687,189,760
  5. Step 5: Solve for x
    x = 963,473,924,687,189,760/454,462,922
  6. Step 6: Final answer
    x = 2,120,027,571.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.