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Finding the Third Proportional to 442,732 and 978,492

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Solution

The third proportional to 442,732 and 978,492 is: 2,162,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,732 : 978,492 = 978,492 : x
  2. Step 2: Convert to fraction form
    442,732/978,492 = 978,492/x
  3. Step 3: Cross multiply
    442,732x = 978,492 × 978,492
  4. Step 4: Simplify right side
    442,732x = 957,446,594,064
  5. Step 5: Solve for x
    x = 957,446,594,064/442,732
  6. Step 6: Final answer
    x = 2,162,587.29

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.