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Finding the Third Proportional to 433,899 and 934,400

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Solution

The third proportional to 433,899 and 934,400 is: 2,012,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,899 : 934,400 = 934,400 : x
  2. Step 2: Convert to fraction form
    433,899/934,400 = 934,400/x
  3. Step 3: Cross multiply
    433,899x = 934,400 × 934,400
  4. Step 4: Simplify right side
    433,899x = 873,103,360,000
  5. Step 5: Solve for x
    x = 873,103,360,000/433,899
  6. Step 6: Final answer
    x = 2,012,227.18

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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.