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Finding the Third Proportional to 561,168 and 1,192,424

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Solution

The third proportional to 561,168 and 1,192,424 is: 2,533,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,168 : 1,192,424 = 1,192,424 : x
  2. Step 2: Convert to fraction form
    561,168/1,192,424 = 1,192,424/x
  3. Step 3: Cross multiply
    561,168x = 1,192,424 × 1,192,424
  4. Step 4: Simplify right side
    561,168x = 1,421,874,995,776
  5. Step 5: Solve for x
    x = 1,421,874,995,776/561,168
  6. Step 6: Final answer
    x = 2,533,777.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.