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Finding the Third Proportional to 412,186,323 and 888,940,896

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Solution

The third proportional to 412,186,323 and 888,940,896 is: 1,917,132,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,323 : 888,940,896 = 888,940,896 : x
  2. Step 2: Convert to fraction form
    412,186,323/888,940,896 = 888,940,896/x
  3. Step 3: Cross multiply
    412,186,323x = 888,940,896 × 888,940,896
  4. Step 4: Simplify right side
    412,186,323x = 790,215,916,581,282,816
  5. Step 5: Solve for x
    x = 790,215,916,581,282,816/412,186,323
  6. Step 6: Final answer
    x = 1,917,132,792.83

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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.