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Finding the Third Proportional to 713,634 and 978,552

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Solution

The third proportional to 713,634 and 978,552 is: 1,341,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,634 : 978,552 = 978,552 : x
  2. Step 2: Convert to fraction form
    713,634/978,552 = 978,552/x
  3. Step 3: Cross multiply
    713,634x = 978,552 × 978,552
  4. Step 4: Simplify right side
    713,634x = 957,564,016,704
  5. Step 5: Solve for x
    x = 957,564,016,704/713,634
  6. Step 6: Final answer
    x = 1,341,813.89

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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.