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Finding the Third Proportional to 567,567 and 1,221,237

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Solution

The third proportional to 567,567 and 1,221,237 is: 2,627,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,567 : 1,221,237 = 1,221,237 : x
  2. Step 2: Convert to fraction form
    567,567/1,221,237 = 1,221,237/x
  3. Step 3: Cross multiply
    567,567x = 1,221,237 × 1,221,237
  4. Step 4: Simplify right side
    567,567x = 1,491,419,810,169
  5. Step 5: Solve for x
    x = 1,491,419,810,169/567,567
  6. Step 6: Final answer
    x = 2,627,742.29

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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.