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Finding the Third Proportional to 1,349,920 and 2,851,624

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Solution

The third proportional to 1,349,920 and 2,851,624 is: 6,023,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,920 : 2,851,624 = 2,851,624 : x
  2. Step 2: Convert to fraction form
    1,349,920/2,851,624 = 2,851,624/x
  3. Step 3: Cross multiply
    1,349,920x = 2,851,624 × 2,851,624
  4. Step 4: Simplify right side
    1,349,920x = 8,131,759,437,376
  5. Step 5: Solve for x
    x = 8,131,759,437,376/1,349,920
  6. Step 6: Final answer
    x = 6,023,882.48

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.