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Finding the Third Proportional to 547,202 and 1,170,098

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Solution

The third proportional to 547,202 and 1,170,098 is: 2,502,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,202 : 1,170,098 = 1,170,098 : x
  2. Step 2: Convert to fraction form
    547,202/1,170,098 = 1,170,098/x
  3. Step 3: Cross multiply
    547,202x = 1,170,098 × 1,170,098
  4. Step 4: Simplify right side
    547,202x = 1,369,129,329,604
  5. Step 5: Solve for x
    x = 1,369,129,329,604/547,202
  6. Step 6: Final answer
    x = 2,502,054.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.