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Finding the Third Proportional to 874,814 and 1,914,220

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Solution

The third proportional to 874,814 and 1,914,220 is: 4,188,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,814 : 1,914,220 = 1,914,220 : x
  2. Step 2: Convert to fraction form
    874,814/1,914,220 = 1,914,220/x
  3. Step 3: Cross multiply
    874,814x = 1,914,220 × 1,914,220
  4. Step 4: Simplify right side
    874,814x = 3,664,238,208,400
  5. Step 5: Solve for x
    x = 3,664,238,208,400/874,814
  6. Step 6: Final answer
    x = 4,188,591.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.