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Finding the Third Proportional to 2,242,175 and 3,481,406

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Solution

The third proportional to 2,242,175 and 3,481,406 is: 5,405,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,175 : 3,481,406 = 3,481,406 : x
  2. Step 2: Convert to fraction form
    2,242,175/3,481,406 = 3,481,406/x
  3. Step 3: Cross multiply
    2,242,175x = 3,481,406 × 3,481,406
  4. Step 4: Simplify right side
    2,242,175x = 12,120,187,736,836
  5. Step 5: Solve for x
    x = 12,120,187,736,836/2,242,175
  6. Step 6: Final answer
    x = 5,405,549.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.