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Finding the Third Proportional to 4,486,783 and 6,960,647

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Solution

The third proportional to 4,486,783 and 6,960,647 is: 10,798,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,783 : 6,960,647 = 6,960,647 : x
  2. Step 2: Convert to fraction form
    4,486,783/6,960,647 = 6,960,647/x
  3. Step 3: Cross multiply
    4,486,783x = 6,960,647 × 6,960,647
  4. Step 4: Simplify right side
    4,486,783x = 48,450,606,658,609
  5. Step 5: Solve for x
    x = 48,450,606,658,609/4,486,783
  6. Step 6: Final answer
    x = 10,798,517.93

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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.