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Finding the Third Proportional to 2,832,225 and 6,064,914

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Solution

The third proportional to 2,832,225 and 6,064,914 is: 12,987,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832,225 : 6,064,914 = 6,064,914 : x
  2. Step 2: Convert to fraction form
    2,832,225/6,064,914 = 6,064,914/x
  3. Step 3: Cross multiply
    2,832,225x = 6,064,914 × 6,064,914
  4. Step 4: Simplify right side
    2,832,225x = 36,783,181,827,396
  5. Step 5: Solve for x
    x = 36,783,181,827,396/2,832,225
  6. Step 6: Final answer
    x = 12,987,379.83

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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.