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Finding the Third Proportional to 713,646 and 978,570

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Solution

The third proportional to 713,646 and 978,570 is: 1,341,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,646 : 978,570 = 978,570 : x
  2. Step 2: Convert to fraction form
    713,646/978,570 = 978,570/x
  3. Step 3: Cross multiply
    713,646x = 978,570 × 978,570
  4. Step 4: Simplify right side
    713,646x = 957,599,244,900
  5. Step 5: Solve for x
    x = 957,599,244,900/713,646
  6. Step 6: Final answer
    x = 1,341,840.70

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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.