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Finding the Third Proportional to 819,263.53 and 1,253,843.30

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Solution

The third proportional to 819,263.53 and 1,253,843.30 is: 1,918,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,263.53 : 1,253,843.30 = 1,253,843.30 : x
  2. Step 2: Convert to fraction form
    819,263.53/1,253,843.30 = 1,253,843.30/x
  3. Step 3: Cross multiply
    819,263.53x = 1,253,843.30 × 1,253,843.30
  4. Step 4: Simplify right side
    819,263.53x = 1,572,123,013,118.37
  5. Step 5: Solve for x
    x = 1,572,123,013,118.37/819,263.53
  6. Step 6: Final answer
    x = 1,918,946.66

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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.