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Finding the Third Proportional to 626,287 and 1,396,006

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Solution

The third proportional to 626,287 and 1,396,006 is: 3,111,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,287 : 1,396,006 = 1,396,006 : x
  2. Step 2: Convert to fraction form
    626,287/1,396,006 = 1,396,006/x
  3. Step 3: Cross multiply
    626,287x = 1,396,006 × 1,396,006
  4. Step 4: Simplify right side
    626,287x = 1,948,832,752,036
  5. Step 5: Solve for x
    x = 1,948,832,752,036/626,287
  6. Step 6: Final answer
    x = 3,111,724.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.