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Finding the Third Proportional to 469,123.50 and 1,022,446.88

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Solution

The third proportional to 469,123.50 and 1,022,446.88 is: 2,228,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,123.50 : 1,022,446.88 = 1,022,446.88 : x
  2. Step 2: Convert to fraction form
    469,123.50/1,022,446.88 = 1,022,446.88/x
  3. Step 3: Cross multiply
    469,123.50x = 1,022,446.88 × 1,022,446.88
  4. Step 4: Simplify right side
    469,123.50x = 1,045,397,612,197.27
  5. Step 5: Solve for x
    x = 1,045,397,612,197.27/469,123.50
  6. Step 6: Final answer
    x = 2,228,405.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.