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Finding the Third Proportional to 3,257,874 and 4,971,075

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Solution

The third proportional to 3,257,874 and 4,971,075 is: 7,585,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,874 : 4,971,075 = 4,971,075 : x
  2. Step 2: Convert to fraction form
    3,257,874/4,971,075 = 4,971,075/x
  3. Step 3: Cross multiply
    3,257,874x = 4,971,075 × 4,971,075
  4. Step 4: Simplify right side
    3,257,874x = 24,711,586,655,625
  5. Step 5: Solve for x
    x = 24,711,586,655,625/3,257,874
  6. Step 6: Final answer
    x = 7,585,187.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.