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Finding the Third Proportional to 667,920 and 1,034,400

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Solution

The third proportional to 667,920 and 1,034,400 is: 1,601,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,920 : 1,034,400 = 1,034,400 : x
  2. Step 2: Convert to fraction form
    667,920/1,034,400 = 1,034,400/x
  3. Step 3: Cross multiply
    667,920x = 1,034,400 × 1,034,400
  4. Step 4: Simplify right side
    667,920x = 1,069,983,360,000
  5. Step 5: Solve for x
    x = 1,069,983,360,000/667,920
  6. Step 6: Final answer
    x = 1,601,963.35

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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.