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Finding the Third Proportional to 449,306 and 980,944

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Solution

The third proportional to 449,306 and 980,944 is: 2,141,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,306 : 980,944 = 980,944 : x
  2. Step 2: Convert to fraction form
    449,306/980,944 = 980,944/x
  3. Step 3: Cross multiply
    449,306x = 980,944 × 980,944
  4. Step 4: Simplify right side
    449,306x = 962,251,131,136
  5. Step 5: Solve for x
    x = 962,251,131,136/449,306
  6. Step 6: Final answer
    x = 2,141,638.73

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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.