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Finding the Third Proportional to 544,048 and 816,072

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Solution

The third proportional to 544,048 and 816,072 is: 1,224,108

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,048 : 816,072 = 816,072 : x
  2. Step 2: Convert to fraction form
    544,048/816,072 = 816,072/x
  3. Step 3: Cross multiply
    544,048x = 816,072 × 816,072
  4. Step 4: Simplify right side
    544,048x = 665,973,509,184
  5. Step 5: Solve for x
    x = 665,973,509,184/544,048
  6. Step 6: Final answer
    x = 1,224,108

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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.