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Finding the Third Proportional to 433,912 and 934,432

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Solution

The third proportional to 433,912 and 934,432 is: 2,012,304.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,912 : 934,432 = 934,432 : x
  2. Step 2: Convert to fraction form
    433,912/934,432 = 934,432/x
  3. Step 3: Cross multiply
    433,912x = 934,432 × 934,432
  4. Step 4: Simplify right side
    433,912x = 873,163,162,624
  5. Step 5: Solve for x
    x = 873,163,162,624/433,912
  6. Step 6: Final answer
    x = 2,012,304.71

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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.