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Finding the Third Proportional to 901,872 and 1,878,380

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Solution

The third proportional to 901,872 and 1,878,380 is: 3,912,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,872 : 1,878,380 = 1,878,380 : x
  2. Step 2: Convert to fraction form
    901,872/1,878,380 = 1,878,380/x
  3. Step 3: Cross multiply
    901,872x = 1,878,380 × 1,878,380
  4. Step 4: Simplify right side
    901,872x = 3,528,311,424,400
  5. Step 5: Solve for x
    x = 3,528,311,424,400/901,872
  6. Step 6: Final answer
    x = 3,912,208.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.