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Finding the Third Proportional to 654,278 and 984,692

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Solution

The third proportional to 654,278 and 984,692 is: 1,481,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,278 : 984,692 = 984,692 : x
  2. Step 2: Convert to fraction form
    654,278/984,692 = 984,692/x
  3. Step 3: Cross multiply
    654,278x = 984,692 × 984,692
  4. Step 4: Simplify right side
    654,278x = 969,618,334,864
  5. Step 5: Solve for x
    x = 969,618,334,864/654,278
  6. Step 6: Final answer
    x = 1,481,966.89

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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.