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Finding the Third Proportional to 380,215,200 and 814,998,960

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Solution

The third proportional to 380,215,200 and 814,998,960 is: 1,746,966,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,215,200 : 814,998,960 = 814,998,960 : x
  2. Step 2: Convert to fraction form
    380,215,200/814,998,960 = 814,998,960/x
  3. Step 3: Cross multiply
    380,215,200x = 814,998,960 × 814,998,960
  4. Step 4: Simplify right side
    380,215,200x = 664,223,304,801,081,600
  5. Step 5: Solve for x
    x = 664,223,304,801,081,600/380,215,200
  6. Step 6: Final answer
    x = 1,746,966,730.42

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