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Finding the Third Proportional to 2,191,896 and 3,439,304

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Solution

The third proportional to 2,191,896 and 3,439,304 is: 5,396,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,896 : 3,439,304 = 3,439,304 : x
  2. Step 2: Convert to fraction form
    2,191,896/3,439,304 = 3,439,304/x
  3. Step 3: Cross multiply
    2,191,896x = 3,439,304 × 3,439,304
  4. Step 4: Simplify right side
    2,191,896x = 11,828,812,004,416
  5. Step 5: Solve for x
    x = 11,828,812,004,416/2,191,896
  6. Step 6: Final answer
    x = 5,396,611.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.