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Finding the Third Proportional to 626,882 and 1,378,164

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Solution

The third proportional to 626,882 and 1,378,164 is: 3,029,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,882 : 1,378,164 = 1,378,164 : x
  2. Step 2: Convert to fraction form
    626,882/1,378,164 = 1,378,164/x
  3. Step 3: Cross multiply
    626,882x = 1,378,164 × 1,378,164
  4. Step 4: Simplify right side
    626,882x = 1,899,336,010,896
  5. Step 5: Solve for x
    x = 1,899,336,010,896/626,882
  6. Step 6: Final answer
    x = 3,029,814.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.