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Finding the Third Proportional to 442,753 and 978,536

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Solution

The third proportional to 442,753 and 978,536 is: 2,162,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,753 : 978,536 = 978,536 : x
  2. Step 2: Convert to fraction form
    442,753/978,536 = 978,536/x
  3. Step 3: Cross multiply
    442,753x = 978,536 × 978,536
  4. Step 4: Simplify right side
    442,753x = 957,532,703,296
  5. Step 5: Solve for x
    x = 957,532,703,296/442,753
  6. Step 6: Final answer
    x = 2,162,679.20

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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.