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Finding the Third Proportional to 717,579 and 1,538,214

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Solution

The third proportional to 717,579 and 1,538,214 is: 3,297,340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,579 : 1,538,214 = 1,538,214 : x
  2. Step 2: Convert to fraction form
    717,579/1,538,214 = 1,538,214/x
  3. Step 3: Cross multiply
    717,579x = 1,538,214 × 1,538,214
  4. Step 4: Simplify right side
    717,579x = 2,366,102,309,796
  5. Step 5: Solve for x
    x = 2,366,102,309,796/717,579
  6. Step 6: Final answer
    x = 3,297,340.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.