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Finding the Third Proportional to 399,432 and 868,848

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Solution

The third proportional to 399,432 and 868,848 is: 1,889,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,432 : 868,848 = 868,848 : x
  2. Step 2: Convert to fraction form
    399,432/868,848 = 868,848/x
  3. Step 3: Cross multiply
    399,432x = 868,848 × 868,848
  4. Step 4: Simplify right side
    399,432x = 754,896,847,104
  5. Step 5: Solve for x
    x = 754,896,847,104/399,432
  6. Step 6: Final answer
    x = 1,889,925.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.