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Finding the Third Proportional to 811,221.75 and 1,272,519

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Solution

The third proportional to 811,221.75 and 1,272,519 is: 1,996,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,221.75 : 1,272,519 = 1,272,519 : x
  2. Step 2: Convert to fraction form
    811,221.75/1,272,519 = 1,272,519/x
  3. Step 3: Cross multiply
    811,221.75x = 1,272,519 × 1,272,519
  4. Step 4: Simplify right side
    811,221.75x = 1,619,304,605,361
  5. Step 5: Solve for x
    x = 1,619,304,605,361/811,221.75
  6. Step 6: Final answer
    x = 1,996,130.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.