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Finding the Third Proportional to 566,508 and 1,231,617

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Solution

The third proportional to 566,508 and 1,231,617 is: 2,677,597.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,508 : 1,231,617 = 1,231,617 : x
  2. Step 2: Convert to fraction form
    566,508/1,231,617 = 1,231,617/x
  3. Step 3: Cross multiply
    566,508x = 1,231,617 × 1,231,617
  4. Step 4: Simplify right side
    566,508x = 1,516,880,434,689
  5. Step 5: Solve for x
    x = 1,516,880,434,689/566,508
  6. Step 6: Final answer
    x = 2,677,597.55

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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.