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Finding the Third Proportional to 843,912 and 1,649,277

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Solution

The third proportional to 843,912 and 1,649,277 is: 3,223,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,912 : 1,649,277 = 1,649,277 : x
  2. Step 2: Convert to fraction form
    843,912/1,649,277 = 1,649,277/x
  3. Step 3: Cross multiply
    843,912x = 1,649,277 × 1,649,277
  4. Step 4: Simplify right side
    843,912x = 2,720,114,622,729
  5. Step 5: Solve for x
    x = 2,720,114,622,729/843,912
  6. Step 6: Final answer
    x = 3,223,220.69

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.