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Finding the Third Proportional to 550,498 and 1,167,151

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Solution

The third proportional to 550,498 and 1,167,151 is: 2,474,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,498 : 1,167,151 = 1,167,151 : x
  2. Step 2: Convert to fraction form
    550,498/1,167,151 = 1,167,151/x
  3. Step 3: Cross multiply
    550,498x = 1,167,151 × 1,167,151
  4. Step 4: Simplify right side
    550,498x = 1,362,241,456,801
  5. Step 5: Solve for x
    x = 1,362,241,456,801/550,498
  6. Step 6: Final answer
    x = 2,474,562.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.