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Finding the Third Proportional to 1,542,280 and 3,271,180

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Solution

The third proportional to 1,542,280 and 3,271,180 is: 6,938,181.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,280 : 3,271,180 = 3,271,180 : x
  2. Step 2: Convert to fraction form
    1,542,280/3,271,180 = 3,271,180/x
  3. Step 3: Cross multiply
    1,542,280x = 3,271,180 × 3,271,180
  4. Step 4: Simplify right side
    1,542,280x = 10,700,618,592,400
  5. Step 5: Solve for x
    x = 10,700,618,592,400/1,542,280
  6. Step 6: Final answer
    x = 6,938,181.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.