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Finding the Third Proportional to 414,781,569 and 888,726,021

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Solution

The third proportional to 414,781,569 and 888,726,021 is: 1,904,216,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,781,569 : 888,726,021 = 888,726,021 : x
  2. Step 2: Convert to fraction form
    414,781,569/888,726,021 = 888,726,021/x
  3. Step 3: Cross multiply
    414,781,569x = 888,726,021 × 888,726,021
  4. Step 4: Simplify right side
    414,781,569x = 789,833,940,402,492,416
  5. Step 5: Solve for x
    x = 789,833,940,402,492,416/414,781,569
  6. Step 6: Final answer
    x = 1,904,216,579.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.