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Finding the Third Proportional to 518,961 and 1,126,479

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Solution

The third proportional to 518,961 and 1,126,479 is: 2,445,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,961 : 1,126,479 = 1,126,479 : x
  2. Step 2: Convert to fraction form
    518,961/1,126,479 = 1,126,479/x
  3. Step 3: Cross multiply
    518,961x = 1,126,479 × 1,126,479
  4. Step 4: Simplify right side
    518,961x = 1,268,954,937,441
  5. Step 5: Solve for x
    x = 1,268,954,937,441/518,961
  6. Step 6: Final answer
    x = 2,445,183.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.