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Finding the Third Proportional to 667,400 and 1,574,783

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Solution

The third proportional to 667,400 and 1,574,783 is: 3,715,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,400 : 1,574,783 = 1,574,783 : x
  2. Step 2: Convert to fraction form
    667,400/1,574,783 = 1,574,783/x
  3. Step 3: Cross multiply
    667,400x = 1,574,783 × 1,574,783
  4. Step 4: Simplify right side
    667,400x = 2,479,941,497,089
  5. Step 5: Solve for x
    x = 2,479,941,497,089/667,400
  6. Step 6: Final answer
    x = 3,715,824.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.