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Finding the Third Proportional to 442,709 and 978,447

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Solution

The third proportional to 442,709 and 978,447 is: 2,162,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,709 : 978,447 = 978,447 : x
  2. Step 2: Convert to fraction form
    442,709/978,447 = 978,447/x
  3. Step 3: Cross multiply
    442,709x = 978,447 × 978,447
  4. Step 4: Simplify right side
    442,709x = 957,358,531,809
  5. Step 5: Solve for x
    x = 957,358,531,809/442,709
  6. Step 6: Final answer
    x = 2,162,500.72

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.