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Finding the Third Proportional to 484,179 and 988,041

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Solution

The third proportional to 484,179 and 988,041 is: 2,016,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,179 : 988,041 = 988,041 : x
  2. Step 2: Convert to fraction form
    484,179/988,041 = 988,041/x
  3. Step 3: Cross multiply
    484,179x = 988,041 × 988,041
  4. Step 4: Simplify right side
    484,179x = 976,225,017,681
  5. Step 5: Solve for x
    x = 976,225,017,681/484,179
  6. Step 6: Final answer
    x = 2,016,248.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.