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Finding the Third Proportional to 872,432 and 1,882,336

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Solution

The third proportional to 872,432 and 1,882,336 is: 4,061,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,432 : 1,882,336 = 1,882,336 : x
  2. Step 2: Convert to fraction form
    872,432/1,882,336 = 1,882,336/x
  3. Step 3: Cross multiply
    872,432x = 1,882,336 × 1,882,336
  4. Step 4: Simplify right side
    872,432x = 3,543,188,816,896
  5. Step 5: Solve for x
    x = 3,543,188,816,896/872,432
  6. Step 6: Final answer
    x = 4,061,277.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.