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Finding the Third Proportional to 475,182 and 1,034,016.75

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Solution

The third proportional to 475,182 and 1,034,016.75 is: 2,250,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,182 : 1,034,016.75 = 1,034,016.75 : x
  2. Step 2: Convert to fraction form
    475,182/1,034,016.75 = 1,034,016.75/x
  3. Step 3: Cross multiply
    475,182x = 1,034,016.75 × 1,034,016.75
  4. Step 4: Simplify right side
    475,182x = 1,069,190,639,280.56
  5. Step 5: Solve for x
    x = 1,069,190,639,280.56/475,182
  6. Step 6: Final answer
    x = 2,250,065.53

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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.