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Finding the Third Proportional to 544,056 and 816,084

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Solution

The third proportional to 544,056 and 816,084 is: 1,224,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,056 : 816,084 = 816,084 : x
  2. Step 2: Convert to fraction form
    544,056/816,084 = 816,084/x
  3. Step 3: Cross multiply
    544,056x = 816,084 × 816,084
  4. Step 4: Simplify right side
    544,056x = 665,993,095,056
  5. Step 5: Solve for x
    x = 665,993,095,056/544,056
  6. Step 6: Final answer
    x = 1,224,126

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.