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Finding the Third Proportional to 413,990,700 and 888,664,398

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Solution

The third proportional to 413,990,700 and 888,664,398 is: 1,907,589,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,990,700 : 888,664,398 = 888,664,398 : x
  2. Step 2: Convert to fraction form
    413,990,700/888,664,398 = 888,664,398/x
  3. Step 3: Cross multiply
    413,990,700x = 888,664,398 × 888,664,398
  4. Step 4: Simplify right side
    413,990,700x = 789,724,412,272,702,464
  5. Step 5: Solve for x
    x = 789,724,412,272,702,464/413,990,700
  6. Step 6: Final answer
    x = 1,907,589,741.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.