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Finding the Third Proportional to 1,380,320 and 2,970,432

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Solution

The third proportional to 1,380,320 and 2,970,432 is: 6,392,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,320 : 2,970,432 = 2,970,432 : x
  2. Step 2: Convert to fraction form
    1,380,320/2,970,432 = 2,970,432/x
  3. Step 3: Cross multiply
    1,380,320x = 2,970,432 × 2,970,432
  4. Step 4: Simplify right side
    1,380,320x = 8,823,466,266,624
  5. Step 5: Solve for x
    x = 8,823,466,266,624/1,380,320
  6. Step 6: Final answer
    x = 6,392,333.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.