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Finding the Third Proportional to 517,563 and 1,126,251

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Solution

The third proportional to 517,563 and 1,126,251 is: 2,450,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,563 : 1,126,251 = 1,126,251 : x
  2. Step 2: Convert to fraction form
    517,563/1,126,251 = 1,126,251/x
  3. Step 3: Cross multiply
    517,563x = 1,126,251 × 1,126,251
  4. Step 4: Simplify right side
    517,563x = 1,268,441,315,001
  5. Step 5: Solve for x
    x = 1,268,441,315,001/517,563
  6. Step 6: Final answer
    x = 2,450,795.97

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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.