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Finding the Third Proportional to 713,828 and 978,816

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Solution

The third proportional to 713,828 and 978,816 is: 1,342,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,828 : 978,816 = 978,816 : x
  2. Step 2: Convert to fraction form
    713,828/978,816 = 978,816/x
  3. Step 3: Cross multiply
    713,828x = 978,816 × 978,816
  4. Step 4: Simplify right side
    713,828x = 958,080,761,856
  5. Step 5: Solve for x
    x = 958,080,761,856/713,828
  6. Step 6: Final answer
    x = 1,342,173.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.