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Finding the Third Proportional to 969,432 and 2,063,280

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Solution

The third proportional to 969,432 and 2,063,280 is: 4,391,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,432 : 2,063,280 = 2,063,280 : x
  2. Step 2: Convert to fraction form
    969,432/2,063,280 = 2,063,280/x
  3. Step 3: Cross multiply
    969,432x = 2,063,280 × 2,063,280
  4. Step 4: Simplify right side
    969,432x = 4,257,124,358,400
  5. Step 5: Solve for x
    x = 4,257,124,358,400/969,432
  6. Step 6: Final answer
    x = 4,391,359.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.