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Finding the Third Proportional to 927,046 and 2,232,568

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Solution

The third proportional to 927,046 and 2,232,568 is: 5,376,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,046 : 2,232,568 = 2,232,568 : x
  2. Step 2: Convert to fraction form
    927,046/2,232,568 = 2,232,568/x
  3. Step 3: Cross multiply
    927,046x = 2,232,568 × 2,232,568
  4. Step 4: Simplify right side
    927,046x = 4,984,359,874,624
  5. Step 5: Solve for x
    x = 4,984,359,874,624/927,046
  6. Step 6: Final answer
    x = 5,376,604.69

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.