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Finding the Third Proportional to 450,432 and 978,744

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Solution

The third proportional to 450,432 and 978,744 is: 2,126,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,432 : 978,744 = 978,744 : x
  2. Step 2: Convert to fraction form
    450,432/978,744 = 978,744/x
  3. Step 3: Cross multiply
    450,432x = 978,744 × 978,744
  4. Step 4: Simplify right side
    450,432x = 957,939,817,536
  5. Step 5: Solve for x
    x = 957,939,817,536/450,432
  6. Step 6: Final answer
    x = 2,126,713.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.