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Finding the Third Proportional to 412,186,361 and 888,940,972

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Solution

The third proportional to 412,186,361 and 888,940,972 is: 1,917,132,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,361 : 888,940,972 = 888,940,972 : x
  2. Step 2: Convert to fraction form
    412,186,361/888,940,972 = 888,940,972/x
  3. Step 3: Cross multiply
    412,186,361x = 888,940,972 × 888,940,972
  4. Step 4: Simplify right side
    412,186,361x = 790,216,051,700,304,768
  5. Step 5: Solve for x
    x = 790,216,051,700,304,768/412,186,361
  6. Step 6: Final answer
    x = 1,917,132,943.90

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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.