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Finding the Third Proportional to 566,800 and 1,197,581

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Solution

The third proportional to 566,800 and 1,197,581 is: 2,530,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,800 : 1,197,581 = 1,197,581 : x
  2. Step 2: Convert to fraction form
    566,800/1,197,581 = 1,197,581/x
  3. Step 3: Cross multiply
    566,800x = 1,197,581 × 1,197,581
  4. Step 4: Simplify right side
    566,800x = 1,434,200,251,561
  5. Step 5: Solve for x
    x = 1,434,200,251,561/566,800
  6. Step 6: Final answer
    x = 2,530,346.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.