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Finding the Third Proportional to 785,736 and 1,218,828

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Solution

The third proportional to 785,736 and 1,218,828 is: 1,890,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,736 : 1,218,828 = 1,218,828 : x
  2. Step 2: Convert to fraction form
    785,736/1,218,828 = 1,218,828/x
  3. Step 3: Cross multiply
    785,736x = 1,218,828 × 1,218,828
  4. Step 4: Simplify right side
    785,736x = 1,485,541,693,584
  5. Step 5: Solve for x
    x = 1,485,541,693,584/785,736
  6. Step 6: Final answer
    x = 1,890,637.18

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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.