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Finding the Third Proportional to 449,283 and 988,422

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Solution

The third proportional to 449,283 and 988,422 is: 2,174,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,283 : 988,422 = 988,422 : x
  2. Step 2: Convert to fraction form
    449,283/988,422 = 988,422/x
  3. Step 3: Cross multiply
    449,283x = 988,422 × 988,422
  4. Step 4: Simplify right side
    449,283x = 976,978,050,084
  5. Step 5: Solve for x
    x = 976,978,050,084/449,283
  6. Step 6: Final answer
    x = 2,174,527.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.