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Finding the Third Proportional to 442,707 and 978,443

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Solution

The third proportional to 442,707 and 978,443 is: 2,162,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,707 : 978,443 = 978,443 : x
  2. Step 2: Convert to fraction form
    442,707/978,443 = 978,443/x
  3. Step 3: Cross multiply
    442,707x = 978,443 × 978,443
  4. Step 4: Simplify right side
    442,707x = 957,350,704,249
  5. Step 5: Solve for x
    x = 957,350,704,249/442,707
  6. Step 6: Final answer
    x = 2,162,492.81

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Why These Related Problems?

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