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Finding the Third Proportional to 457,892 and 983,500

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Solution

The third proportional to 457,892 and 983,500 is: 2,112,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,892 : 983,500 = 983,500 : x
  2. Step 2: Convert to fraction form
    457,892/983,500 = 983,500/x
  3. Step 3: Cross multiply
    457,892x = 983,500 × 983,500
  4. Step 4: Simplify right side
    457,892x = 967,272,250,000
  5. Step 5: Solve for x
    x = 967,272,250,000/457,892
  6. Step 6: Final answer
    x = 2,112,446.28

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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.