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Finding the Third Proportional to 475,181 and 1,034,013

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Solution

The third proportional to 475,181 and 1,034,013 is: 2,250,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,181 : 1,034,013 = 1,034,013 : x
  2. Step 2: Convert to fraction form
    475,181/1,034,013 = 1,034,013/x
  3. Step 3: Cross multiply
    475,181x = 1,034,013 × 1,034,013
  4. Step 4: Simplify right side
    475,181x = 1,069,182,884,169
  5. Step 5: Solve for x
    x = 1,069,182,884,169/475,181
  6. Step 6: Final answer
    x = 2,250,053.95

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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.