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Finding the Third Proportional to 567,569 and 1,221,241

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Solution

The third proportional to 567,569 and 1,221,241 is: 2,627,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,569 : 1,221,241 = 1,221,241 : x
  2. Step 2: Convert to fraction form
    567,569/1,221,241 = 1,221,241/x
  3. Step 3: Cross multiply
    567,569x = 1,221,241 × 1,221,241
  4. Step 4: Simplify right side
    567,569x = 1,491,429,580,081
  5. Step 5: Solve for x
    x = 1,491,429,580,081/567,569
  6. Step 6: Final answer
    x = 2,627,750.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.