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Finding the Third Proportional to 2,098,863 and 3,241,053

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Solution

The third proportional to 2,098,863 and 3,241,053 is: 5,004,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,863 : 3,241,053 = 3,241,053 : x
  2. Step 2: Convert to fraction form
    2,098,863/3,241,053 = 3,241,053/x
  3. Step 3: Cross multiply
    2,098,863x = 3,241,053 × 3,241,053
  4. Step 4: Simplify right side
    2,098,863x = 10,504,424,548,809
  5. Step 5: Solve for x
    x = 10,504,424,548,809/2,098,863
  6. Step 6: Final answer
    x = 5,004,816.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.