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Finding the Third Proportional to 738,744 and 1,617,612

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Solution

The third proportional to 738,744 and 1,617,612 is: 3,542,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,744 : 1,617,612 = 1,617,612 : x
  2. Step 2: Convert to fraction form
    738,744/1,617,612 = 1,617,612/x
  3. Step 3: Cross multiply
    738,744x = 1,617,612 × 1,617,612
  4. Step 4: Simplify right side
    738,744x = 2,616,668,582,544
  5. Step 5: Solve for x
    x = 2,616,668,582,544/738,744
  6. Step 6: Final answer
    x = 3,542,050.54

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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.