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Finding the Third Proportional to 785,595 and 1,687,452

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Solution

The third proportional to 785,595 and 1,687,452 is: 3,624,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,595 : 1,687,452 = 1,687,452 : x
  2. Step 2: Convert to fraction form
    785,595/1,687,452 = 1,687,452/x
  3. Step 3: Cross multiply
    785,595x = 1,687,452 × 1,687,452
  4. Step 4: Simplify right side
    785,595x = 2,847,494,252,304
  5. Step 5: Solve for x
    x = 2,847,494,252,304/785,595
  6. Step 6: Final answer
    x = 3,624,633.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.