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Finding the Third Proportional to 617,328 and 1,301,907

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Solution

The third proportional to 617,328 and 1,301,907 is: 2,745,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,328 : 1,301,907 = 1,301,907 : x
  2. Step 2: Convert to fraction form
    617,328/1,301,907 = 1,301,907/x
  3. Step 3: Cross multiply
    617,328x = 1,301,907 × 1,301,907
  4. Step 4: Simplify right side
    617,328x = 1,694,961,836,649
  5. Step 5: Solve for x
    x = 1,694,961,836,649/617,328
  6. Step 6: Final answer
    x = 2,745,642.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.