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Finding the Third Proportional to 927,344 and 1,954,317

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Solution

The third proportional to 927,344 and 1,954,317 is: 4,118,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,344 : 1,954,317 = 1,954,317 : x
  2. Step 2: Convert to fraction form
    927,344/1,954,317 = 1,954,317/x
  3. Step 3: Cross multiply
    927,344x = 1,954,317 × 1,954,317
  4. Step 4: Simplify right side
    927,344x = 3,819,354,936,489
  5. Step 5: Solve for x
    x = 3,819,354,936,489/927,344
  6. Step 6: Final answer
    x = 4,118,595.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.