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Finding the Third Proportional to 517,566 and 1,126,257

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Solution

The third proportional to 517,566 and 1,126,257 is: 2,450,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,566 : 1,126,257 = 1,126,257 : x
  2. Step 2: Convert to fraction form
    517,566/1,126,257 = 1,126,257/x
  3. Step 3: Cross multiply
    517,566x = 1,126,257 × 1,126,257
  4. Step 4: Simplify right side
    517,566x = 1,268,454,830,049
  5. Step 5: Solve for x
    x = 1,268,454,830,049/517,566
  6. Step 6: Final answer
    x = 2,450,807.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.