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Finding the Third Proportional to 1,198,802 and 2,508,424

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Solution

The third proportional to 1,198,802 and 2,508,424 is: 5,248,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,802 : 2,508,424 = 2,508,424 : x
  2. Step 2: Convert to fraction form
    1,198,802/2,508,424 = 2,508,424/x
  3. Step 3: Cross multiply
    1,198,802x = 2,508,424 × 2,508,424
  4. Step 4: Simplify right side
    1,198,802x = 6,292,190,963,776
  5. Step 5: Solve for x
    x = 6,292,190,963,776/1,198,802
  6. Step 6: Final answer
    x = 5,248,732.45

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.