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Finding the Third Proportional to 854,928 and 1,880,496

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Solution

The third proportional to 854,928 and 1,880,496 is: 4,136,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,928 : 1,880,496 = 1,880,496 : x
  2. Step 2: Convert to fraction form
    854,928/1,880,496 = 1,880,496/x
  3. Step 3: Cross multiply
    854,928x = 1,880,496 × 1,880,496
  4. Step 4: Simplify right side
    854,928x = 3,536,265,206,016
  5. Step 5: Solve for x
    x = 3,536,265,206,016/854,928
  6. Step 6: Final answer
    x = 4,136,331.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.