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Finding the Third Proportional to 654,293 and 984,716

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Solution

The third proportional to 654,293 and 984,716 is: 1,482,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,293 : 984,716 = 984,716 : x
  2. Step 2: Convert to fraction form
    654,293/984,716 = 984,716/x
  3. Step 3: Cross multiply
    654,293x = 984,716 × 984,716
  4. Step 4: Simplify right side
    654,293x = 969,665,600,656
  5. Step 5: Solve for x
    x = 969,665,600,656/654,293
  6. Step 6: Final answer
    x = 1,482,005.16

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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.