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Finding the Third Proportional to 713,696 and 978,645

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Solution

The third proportional to 713,696 and 978,645 is: 1,341,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,696 : 978,645 = 978,645 : x
  2. Step 2: Convert to fraction form
    713,696/978,645 = 978,645/x
  3. Step 3: Cross multiply
    713,696x = 978,645 × 978,645
  4. Step 4: Simplify right side
    713,696x = 957,746,036,025
  5. Step 5: Solve for x
    x = 957,746,036,025/713,696
  6. Step 6: Final answer
    x = 1,341,952.37

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Why These Related Problems?

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