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Finding the Third Proportional to 561,518 and 1,228,012

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Solution

The third proportional to 561,518 and 1,228,012 is: 2,685,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,518 : 1,228,012 = 1,228,012 : x
  2. Step 2: Convert to fraction form
    561,518/1,228,012 = 1,228,012/x
  3. Step 3: Cross multiply
    561,518x = 1,228,012 × 1,228,012
  4. Step 4: Simplify right side
    561,518x = 1,508,013,472,144
  5. Step 5: Solve for x
    x = 1,508,013,472,144/561,518
  6. Step 6: Final answer
    x = 2,685,601.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.