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Finding the Third Proportional to 927,558 and 2,147,463

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Solution

The third proportional to 927,558 and 2,147,463 is: 4,971,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,558 : 2,147,463 = 2,147,463 : x
  2. Step 2: Convert to fraction form
    927,558/2,147,463 = 2,147,463/x
  3. Step 3: Cross multiply
    927,558x = 2,147,463 × 2,147,463
  4. Step 4: Simplify right side
    927,558x = 4,611,597,336,369
  5. Step 5: Solve for x
    x = 4,611,597,336,369/927,558
  6. Step 6: Final answer
    x = 4,971,761.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.