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Finding the Third Proportional to 738,747 and 1,617,617.25

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Solution

The third proportional to 738,747 and 1,617,617.25 is: 3,542,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,747 : 1,617,617.25 = 1,617,617.25 : x
  2. Step 2: Convert to fraction form
    738,747/1,617,617.25 = 1,617,617.25/x
  3. Step 3: Cross multiply
    738,747x = 1,617,617.25 × 1,617,617.25
  4. Step 4: Simplify right side
    738,747x = 2,616,685,567,497.56
  5. Step 5: Solve for x
    x = 2,616,685,567,497.56/738,747
  6. Step 6: Final answer
    x = 3,542,059.15

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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.