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Finding the Third Proportional to 561,000 and 1,217,112

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Solution

The third proportional to 561,000 and 1,217,112 is: 2,640,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,000 : 1,217,112 = 1,217,112 : x
  2. Step 2: Convert to fraction form
    561,000/1,217,112 = 1,217,112/x
  3. Step 3: Cross multiply
    561,000x = 1,217,112 × 1,217,112
  4. Step 4: Simplify right side
    561,000x = 1,481,361,620,544
  5. Step 5: Solve for x
    x = 1,481,361,620,544/561,000
  6. Step 6: Final answer
    x = 2,640,573.30

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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.