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Finding the Third Proportional to 2,209,670 and 3,344,377

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Solution

The third proportional to 2,209,670 and 3,344,377 is: 5,061,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,670 : 3,344,377 = 3,344,377 : x
  2. Step 2: Convert to fraction form
    2,209,670/3,344,377 = 3,344,377/x
  3. Step 3: Cross multiply
    2,209,670x = 3,344,377 × 3,344,377
  4. Step 4: Simplify right side
    2,209,670x = 11,184,857,518,129
  5. Step 5: Solve for x
    x = 11,184,857,518,129/2,209,670
  6. Step 6: Final answer
    x = 5,061,777.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.