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Finding the Third Proportional to 853,972 and 1,839,896

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Solution

The third proportional to 853,972 and 1,839,896 is: 3,964,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,972 : 1,839,896 = 1,839,896 : x
  2. Step 2: Convert to fraction form
    853,972/1,839,896 = 1,839,896/x
  3. Step 3: Cross multiply
    853,972x = 1,839,896 × 1,839,896
  4. Step 4: Simplify right side
    853,972x = 3,385,217,290,816
  5. Step 5: Solve for x
    x = 3,385,217,290,816/853,972
  6. Step 6: Final answer
    x = 3,964,084.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.