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Finding the Third Proportional to 984,144 and 1,518,264

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Solution

The third proportional to 984,144 and 1,518,264 is: 2,342,264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,144 : 1,518,264 = 1,518,264 : x
  2. Step 2: Convert to fraction form
    984,144/1,518,264 = 1,518,264/x
  3. Step 3: Cross multiply
    984,144x = 1,518,264 × 1,518,264
  4. Step 4: Simplify right side
    984,144x = 2,305,125,573,696
  5. Step 5: Solve for x
    x = 2,305,125,573,696/984,144
  6. Step 6: Final answer
    x = 2,342,264.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.