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Finding the Third Proportional to 1,238,400 and 2,529,264

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Solution

The third proportional to 1,238,400 and 2,529,264 is: 5,165,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,400 : 2,529,264 = 2,529,264 : x
  2. Step 2: Convert to fraction form
    1,238,400/2,529,264 = 2,529,264/x
  3. Step 3: Cross multiply
    1,238,400x = 2,529,264 × 2,529,264
  4. Step 4: Simplify right side
    1,238,400x = 6,397,176,381,696
  5. Step 5: Solve for x
    x = 6,397,176,381,696/1,238,400
  6. Step 6: Final answer
    x = 5,165,678.60

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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.