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Finding the Third Proportional to 435,472 and 888,438

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Solution

The third proportional to 435,472 and 888,438 is: 1,812,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,472 : 888,438 = 888,438 : x
  2. Step 2: Convert to fraction form
    435,472/888,438 = 888,438/x
  3. Step 3: Cross multiply
    435,472x = 888,438 × 888,438
  4. Step 4: Simplify right side
    435,472x = 789,322,079,844
  5. Step 5: Solve for x
    x = 789,322,079,844/435,472
  6. Step 6: Final answer
    x = 1,812,566.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.