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Finding the Third Proportional to 517,561 and 1,126,246

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Solution

The third proportional to 517,561 and 1,126,246 is: 2,450,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,561 : 1,126,246 = 1,126,246 : x
  2. Step 2: Convert to fraction form
    517,561/1,126,246 = 1,126,246/x
  3. Step 3: Cross multiply
    517,561x = 1,126,246 × 1,126,246
  4. Step 4: Simplify right side
    517,561x = 1,268,430,052,516
  5. Step 5: Solve for x
    x = 1,268,430,052,516/517,561
  6. Step 6: Final answer
    x = 2,450,783.68

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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.