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Finding the Third Proportional to 2,338,032 and 4,859,748

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Solution

The third proportional to 2,338,032 and 4,859,748 is: 10,101,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,032 : 4,859,748 = 4,859,748 : x
  2. Step 2: Convert to fraction form
    2,338,032/4,859,748 = 4,859,748/x
  3. Step 3: Cross multiply
    2,338,032x = 4,859,748 × 4,859,748
  4. Step 4: Simplify right side
    2,338,032x = 23,617,150,623,504
  5. Step 5: Solve for x
    x = 23,617,150,623,504/2,338,032
  6. Step 6: Final answer
    x = 10,101,294.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.