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Finding the Third Proportional to 854,126 and 1,813,606

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Solution

The third proportional to 854,126 and 1,813,606 is: 3,850,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,126 : 1,813,606 = 1,813,606 : x
  2. Step 2: Convert to fraction form
    854,126/1,813,606 = 1,813,606/x
  3. Step 3: Cross multiply
    854,126x = 1,813,606 × 1,813,606
  4. Step 4: Simplify right side
    854,126x = 3,289,166,723,236
  5. Step 5: Solve for x
    x = 3,289,166,723,236/854,126
  6. Step 6: Final answer
    x = 3,850,915.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.