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Finding the Third Proportional to 1,247,232 and 1,824,192

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Solution

The third proportional to 1,247,232 and 1,824,192 is: 2,668,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,232 : 1,824,192 = 1,824,192 : x
  2. Step 2: Convert to fraction form
    1,247,232/1,824,192 = 1,824,192/x
  3. Step 3: Cross multiply
    1,247,232x = 1,824,192 × 1,824,192
  4. Step 4: Simplify right side
    1,247,232x = 3,327,676,452,864
  5. Step 5: Solve for x
    x = 3,327,676,452,864/1,247,232
  6. Step 6: Final answer
    x = 2,668,049.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.