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Finding the Third Proportional to 667,596 and 1,434,729

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Solution

The third proportional to 667,596 and 1,434,729 is: 3,083,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,596 : 1,434,729 = 1,434,729 : x
  2. Step 2: Convert to fraction form
    667,596/1,434,729 = 1,434,729/x
  3. Step 3: Cross multiply
    667,596x = 1,434,729 × 1,434,729
  4. Step 4: Simplify right side
    667,596x = 2,058,447,303,441
  5. Step 5: Solve for x
    x = 2,058,447,303,441/667,596
  6. Step 6: Final answer
    x = 3,083,372.73

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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.