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Finding the Third Proportional to 565,517 and 1,211,987

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Solution

The third proportional to 565,517 and 1,211,987 is: 2,597,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,517 : 1,211,987 = 1,211,987 : x
  2. Step 2: Convert to fraction form
    565,517/1,211,987 = 1,211,987/x
  3. Step 3: Cross multiply
    565,517x = 1,211,987 × 1,211,987
  4. Step 4: Simplify right side
    565,517x = 1,468,912,488,169
  5. Step 5: Solve for x
    x = 1,468,912,488,169/565,517
  6. Step 6: Final answer
    x = 2,597,468.31

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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.