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Finding the Third Proportional to 2,393,897 and 5,119,569

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Solution

The third proportional to 2,393,897 and 5,119,569 is: 10,948,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,897 : 5,119,569 = 5,119,569 : x
  2. Step 2: Convert to fraction form
    2,393,897/5,119,569 = 5,119,569/x
  3. Step 3: Cross multiply
    2,393,897x = 5,119,569 × 5,119,569
  4. Step 4: Simplify right side
    2,393,897x = 26,209,986,745,761
  5. Step 5: Solve for x
    x = 26,209,986,745,761/2,393,897
  6. Step 6: Final answer
    x = 10,948,669.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.