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Finding the Third Proportional to 412,186,442 and 888,941,140

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Solution

The third proportional to 412,186,442 and 888,941,140 is: 1,917,133,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,442 : 888,941,140 = 888,941,140 : x
  2. Step 2: Convert to fraction form
    412,186,442/888,941,140 = 888,941,140/x
  3. Step 3: Cross multiply
    412,186,442x = 888,941,140 × 888,941,140
  4. Step 4: Simplify right side
    412,186,442x = 790,216,350,384,499,584
  5. Step 5: Solve for x
    x = 790,216,350,384,499,584/412,186,442
  6. Step 6: Final answer
    x = 1,917,133,291.79

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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.