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Finding the Third Proportional to 3,209,577 and 4,985,802

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Solution

The third proportional to 3,209,577 and 4,985,802 is: 7,745,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,577 : 4,985,802 = 4,985,802 : x
  2. Step 2: Convert to fraction form
    3,209,577/4,985,802 = 4,985,802/x
  3. Step 3: Cross multiply
    3,209,577x = 4,985,802 × 4,985,802
  4. Step 4: Simplify right side
    3,209,577x = 24,858,221,583,204
  5. Step 5: Solve for x
    x = 24,858,221,583,204/3,209,577
  6. Step 6: Final answer
    x = 7,745,014.87

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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.