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Finding the Third Proportional to 561,406 and 1,227,806

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Solution

The third proportional to 561,406 and 1,227,806 is: 2,685,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,406 : 1,227,806 = 1,227,806 : x
  2. Step 2: Convert to fraction form
    561,406/1,227,806 = 1,227,806/x
  3. Step 3: Cross multiply
    561,406x = 1,227,806 × 1,227,806
  4. Step 4: Simplify right side
    561,406x = 1,507,507,573,636
  5. Step 5: Solve for x
    x = 1,507,507,573,636/561,406
  6. Step 6: Final answer
    x = 2,685,235.95

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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.