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Finding the Third Proportional to 653,876 and 984,585

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Solution

The third proportional to 653,876 and 984,585 is: 1,482,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,876 : 984,585 = 984,585 : x
  2. Step 2: Convert to fraction form
    653,876/984,585 = 984,585/x
  3. Step 3: Cross multiply
    653,876x = 984,585 × 984,585
  4. Step 4: Simplify right side
    653,876x = 969,407,622,225
  5. Step 5: Solve for x
    x = 969,407,622,225/653,876
  6. Step 6: Final answer
    x = 1,482,555.75

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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.