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Finding the Third Proportional to 2,985,612 and 6,397,170

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Solution

The third proportional to 2,985,612 and 6,397,170 is: 13,707,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985,612 : 6,397,170 = 6,397,170 : x
  2. Step 2: Convert to fraction form
    2,985,612/6,397,170 = 6,397,170/x
  3. Step 3: Cross multiply
    2,985,612x = 6,397,170 × 6,397,170
  4. Step 4: Simplify right side
    2,985,612x = 40,923,784,008,900
  5. Step 5: Solve for x
    x = 40,923,784,008,900/2,985,612
  6. Step 6: Final answer
    x = 13,707,000.11

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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.