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Finding the Third Proportional to 1,461,344 and 3,202,048

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Solution

The third proportional to 1,461,344 and 3,202,048 is: 7,016,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,344 : 3,202,048 = 3,202,048 : x
  2. Step 2: Convert to fraction form
    1,461,344/3,202,048 = 3,202,048/x
  3. Step 3: Cross multiply
    1,461,344x = 3,202,048 × 3,202,048
  4. Step 4: Simplify right side
    1,461,344x = 10,253,111,394,304
  5. Step 5: Solve for x
    x = 10,253,111,394,304/1,461,344
  6. Step 6: Final answer
    x = 7,016,220.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.