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Finding the Third Proportional to 1,542,284 and 3,271,188

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Solution

The third proportional to 1,542,284 and 3,271,188 is: 6,938,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,284 : 3,271,188 = 3,271,188 : x
  2. Step 2: Convert to fraction form
    1,542,284/3,271,188 = 3,271,188/x
  3. Step 3: Cross multiply
    1,542,284x = 3,271,188 × 3,271,188
  4. Step 4: Simplify right side
    1,542,284x = 10,700,670,931,344
  5. Step 5: Solve for x
    x = 10,700,670,931,344/1,542,284
  6. Step 6: Final answer
    x = 6,938,197.46

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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.