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Finding the Third Proportional to 713,654 and 978,582

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Solution

The third proportional to 713,654 and 978,582 is: 1,341,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,654 : 978,582 = 978,582 : x
  2. Step 2: Convert to fraction form
    713,654/978,582 = 978,582/x
  3. Step 3: Cross multiply
    713,654x = 978,582 × 978,582
  4. Step 4: Simplify right side
    713,654x = 957,622,730,724
  5. Step 5: Solve for x
    x = 957,622,730,724/713,654
  6. Step 6: Final answer
    x = 1,341,858.56

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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.