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Finding the Third Proportional to 738,072 and 1,616,976

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Solution

The third proportional to 738,072 and 1,616,976 is: 3,542,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,072 : 1,616,976 = 1,616,976 : x
  2. Step 2: Convert to fraction form
    738,072/1,616,976 = 1,616,976/x
  3. Step 3: Cross multiply
    738,072x = 1,616,976 × 1,616,976
  4. Step 4: Simplify right side
    738,072x = 2,614,611,384,576
  5. Step 5: Solve for x
    x = 2,614,611,384,576/738,072
  6. Step 6: Final answer
    x = 3,542,488.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.