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Finding the Third Proportional to 625,756 and 969,378

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Solution

The third proportional to 625,756 and 969,378 is: 1,501,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,756 : 969,378 = 969,378 : x
  2. Step 2: Convert to fraction form
    625,756/969,378 = 969,378/x
  3. Step 3: Cross multiply
    625,756x = 969,378 × 969,378
  4. Step 4: Simplify right side
    625,756x = 939,693,706,884
  5. Step 5: Solve for x
    x = 939,693,706,884/625,756
  6. Step 6: Final answer
    x = 1,501,693.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.