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Finding the Third Proportional to 713,630 and 978,546

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Solution

The third proportional to 713,630 and 978,546 is: 1,341,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,630 : 978,546 = 978,546 : x
  2. Step 2: Convert to fraction form
    713,630/978,546 = 978,546/x
  3. Step 3: Cross multiply
    713,630x = 978,546 × 978,546
  4. Step 4: Simplify right side
    713,630x = 957,552,274,116
  5. Step 5: Solve for x
    x = 957,552,274,116/713,630
  6. Step 6: Final answer
    x = 1,341,804.96

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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.