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Finding the Third Proportional to 1,169,098 and 2,512,243

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Solution

The third proportional to 1,169,098 and 2,512,243 is: 5,398,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,098 : 2,512,243 = 2,512,243 : x
  2. Step 2: Convert to fraction form
    1,169,098/2,512,243 = 2,512,243/x
  3. Step 3: Cross multiply
    1,169,098x = 2,512,243 × 2,512,243
  4. Step 4: Simplify right side
    1,169,098x = 6,311,364,891,049
  5. Step 5: Solve for x
    x = 6,311,364,891,049/1,169,098
  6. Step 6: Final answer
    x = 5,398,490.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.