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Finding the Third Proportional to 681,376 and 1,433,368

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Solution

The third proportional to 681,376 and 1,433,368 is: 3,015,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,376 : 1,433,368 = 1,433,368 : x
  2. Step 2: Convert to fraction form
    681,376/1,433,368 = 1,433,368/x
  3. Step 3: Cross multiply
    681,376x = 1,433,368 × 1,433,368
  4. Step 4: Simplify right side
    681,376x = 2,054,543,823,424
  5. Step 5: Solve for x
    x = 2,054,543,823,424/681,376
  6. Step 6: Final answer
    x = 3,015,286.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.