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Finding the Third Proportional to 1,753,584 and 3,769,200

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Solution

The third proportional to 1,753,584 and 3,769,200 is: 8,101,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,584 : 3,769,200 = 3,769,200 : x
  2. Step 2: Convert to fraction form
    1,753,584/3,769,200 = 3,769,200/x
  3. Step 3: Cross multiply
    1,753,584x = 3,769,200 × 3,769,200
  4. Step 4: Simplify right side
    1,753,584x = 14,206,868,640,000
  5. Step 5: Solve for x
    x = 14,206,868,640,000/1,753,584
  6. Step 6: Final answer
    x = 8,101,618.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.