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Finding the Third Proportional to 819,266 and 1,253,846

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Solution

The third proportional to 819,266 and 1,253,846 is: 1,918,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,266 : 1,253,846 = 1,253,846 : x
  2. Step 2: Convert to fraction form
    819,266/1,253,846 = 1,253,846/x
  3. Step 3: Cross multiply
    819,266x = 1,253,846 × 1,253,846
  4. Step 4: Simplify right side
    819,266x = 1,572,129,791,716
  5. Step 5: Solve for x
    x = 1,572,129,791,716/819,266
  6. Step 6: Final answer
    x = 1,918,949.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.