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Finding the Third Proportional to 442,745 and 978,520

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Solution

The third proportional to 442,745 and 978,520 is: 2,162,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,745 : 978,520 = 978,520 : x
  2. Step 2: Convert to fraction form
    442,745/978,520 = 978,520/x
  3. Step 3: Cross multiply
    442,745x = 978,520 × 978,520
  4. Step 4: Simplify right side
    442,745x = 957,501,390,400
  5. Step 5: Solve for x
    x = 957,501,390,400/442,745
  6. Step 6: Final answer
    x = 2,162,647.55

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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.