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Finding the Third Proportional to 838,393 and 1,818,567

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Solution

The third proportional to 838,393 and 1,818,567 is: 3,944,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,393 : 1,818,567 = 1,818,567 : x
  2. Step 2: Convert to fraction form
    838,393/1,818,567 = 1,818,567/x
  3. Step 3: Cross multiply
    838,393x = 1,818,567 × 1,818,567
  4. Step 4: Simplify right side
    838,393x = 3,307,185,933,489
  5. Step 5: Solve for x
    x = 3,307,185,933,489/838,393
  6. Step 6: Final answer
    x = 3,944,672.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.