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Finding the Third Proportional to 4,114,960 and 6,396,647

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Solution

The third proportional to 4,114,960 and 6,396,647 is: 9,943,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114,960 : 6,396,647 = 6,396,647 : x
  2. Step 2: Convert to fraction form
    4,114,960/6,396,647 = 6,396,647/x
  3. Step 3: Cross multiply
    4,114,960x = 6,396,647 × 6,396,647
  4. Step 4: Simplify right side
    4,114,960x = 40,917,092,842,609
  5. Step 5: Solve for x
    x = 40,917,092,842,609/4,114,960
  6. Step 6: Final answer
    x = 9,943,497.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.