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Finding the Third Proportional to 1,234,806 and 2,705,736

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Solution

The third proportional to 1,234,806 and 2,705,736 is: 5,928,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,806 : 2,705,736 = 2,705,736 : x
  2. Step 2: Convert to fraction form
    1,234,806/2,705,736 = 2,705,736/x
  3. Step 3: Cross multiply
    1,234,806x = 2,705,736 × 2,705,736
  4. Step 4: Simplify right side
    1,234,806x = 7,321,007,301,696
  5. Step 5: Solve for x
    x = 7,321,007,301,696/1,234,806
  6. Step 6: Final answer
    x = 5,928,872.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.