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Finding the Third Proportional to 654,273 and 984,686

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Solution

The third proportional to 654,273 and 984,686 is: 1,481,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,273 : 984,686 = 984,686 : x
  2. Step 2: Convert to fraction form
    654,273/984,686 = 984,686/x
  3. Step 3: Cross multiply
    654,273x = 984,686 × 984,686
  4. Step 4: Simplify right side
    654,273x = 969,606,518,596
  5. Step 5: Solve for x
    x = 969,606,518,596/654,273
  6. Step 6: Final answer
    x = 1,481,960.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.