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Finding the Third Proportional to 567,972 and 1,211,720

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Solution

The third proportional to 567,972 and 1,211,720 is: 2,585,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,972 : 1,211,720 = 1,211,720 : x
  2. Step 2: Convert to fraction form
    567,972/1,211,720 = 1,211,720/x
  3. Step 3: Cross multiply
    567,972x = 1,211,720 × 1,211,720
  4. Step 4: Simplify right side
    567,972x = 1,468,265,358,400
  5. Step 5: Solve for x
    x = 1,468,265,358,400/567,972
  6. Step 6: Final answer
    x = 2,585,101.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.