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Finding the Third Proportional to 2,832,219 and 6,064,902

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Solution

The third proportional to 2,832,219 and 6,064,902 is: 12,987,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832,219 : 6,064,902 = 6,064,902 : x
  2. Step 2: Convert to fraction form
    2,832,219/6,064,902 = 6,064,902/x
  3. Step 3: Cross multiply
    2,832,219x = 6,064,902 × 6,064,902
  4. Step 4: Simplify right side
    2,832,219x = 36,783,036,269,604
  5. Step 5: Solve for x
    x = 36,783,036,269,604/2,832,219
  6. Step 6: Final answer
    x = 12,987,355.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.