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Finding the Third Proportional to 449,538 and 956,290

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Solution

The third proportional to 449,538 and 956,290 is: 2,034,289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,538 : 956,290 = 956,290 : x
  2. Step 2: Convert to fraction form
    449,538/956,290 = 956,290/x
  3. Step 3: Cross multiply
    449,538x = 956,290 × 956,290
  4. Step 4: Simplify right side
    449,538x = 914,490,564,100
  5. Step 5: Solve for x
    x = 914,490,564,100/449,538
  6. Step 6: Final answer
    x = 2,034,289.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.