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Finding the Third Proportional to 442,724 and 978,476

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Solution

The third proportional to 442,724 and 978,476 is: 2,162,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,724 : 978,476 = 978,476 : x
  2. Step 2: Convert to fraction form
    442,724/978,476 = 978,476/x
  3. Step 3: Cross multiply
    442,724x = 978,476 × 978,476
  4. Step 4: Simplify right side
    442,724x = 957,415,282,576
  5. Step 5: Solve for x
    x = 957,415,282,576/442,724
  6. Step 6: Final answer
    x = 2,162,555.64

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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.