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Finding the Third Proportional to 654,294 and 984,718

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Solution

The third proportional to 654,294 and 984,718 is: 1,482,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,294 : 984,718 = 984,718 : x
  2. Step 2: Convert to fraction form
    654,294/984,718 = 984,718/x
  3. Step 3: Cross multiply
    654,294x = 984,718 × 984,718
  4. Step 4: Simplify right side
    654,294x = 969,669,539,524
  5. Step 5: Solve for x
    x = 969,669,539,524/654,294
  6. Step 6: Final answer
    x = 1,482,008.91

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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.