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Finding the Third Proportional to 442,698 and 978,432

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Solution

The third proportional to 442,698 and 978,432 is: 2,162,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,698 : 978,432 = 978,432 : x
  2. Step 2: Convert to fraction form
    442,698/978,432 = 978,432/x
  3. Step 3: Cross multiply
    442,698x = 978,432 × 978,432
  4. Step 4: Simplify right side
    442,698x = 957,329,178,624
  5. Step 5: Solve for x
    x = 957,329,178,624/442,698
  6. Step 6: Final answer
    x = 2,162,488.15

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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.