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Finding the Third Proportional to 449,190 and 964,098

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Solution

The third proportional to 449,190 and 964,098 is: 2,069,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,190 : 964,098 = 964,098 : x
  2. Step 2: Convert to fraction form
    449,190/964,098 = 964,098/x
  3. Step 3: Cross multiply
    449,190x = 964,098 × 964,098
  4. Step 4: Simplify right side
    449,190x = 929,484,953,604
  5. Step 5: Solve for x
    x = 929,484,953,604/449,190
  6. Step 6: Final answer
    x = 2,069,246.76

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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.