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Finding the Third Proportional to 681,856 and 1,482,688

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Solution

The third proportional to 681,856 and 1,482,688 is: 3,224,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,856 : 1,482,688 = 1,482,688 : x
  2. Step 2: Convert to fraction form
    681,856/1,482,688 = 1,482,688/x
  3. Step 3: Cross multiply
    681,856x = 1,482,688 × 1,482,688
  4. Step 4: Simplify right side
    681,856x = 2,198,363,705,344
  5. Step 5: Solve for x
    x = 2,198,363,705,344/681,856
  6. Step 6: Final answer
    x = 3,224,087.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.