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Finding the Third Proportional to 705,584 and 1,551,626

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Solution

The third proportional to 705,584 and 1,551,626 is: 3,412,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,584 : 1,551,626 = 1,551,626 : x
  2. Step 2: Convert to fraction form
    705,584/1,551,626 = 1,551,626/x
  3. Step 3: Cross multiply
    705,584x = 1,551,626 × 1,551,626
  4. Step 4: Simplify right side
    705,584x = 2,407,543,243,876
  5. Step 5: Solve for x
    x = 2,407,543,243,876/705,584
  6. Step 6: Final answer
    x = 3,412,128.46

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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.