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Finding the Third Proportional to 1,517,767 and 3,232,168

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Solution

The third proportional to 1,517,767 and 3,232,168 is: 6,883,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,767 : 3,232,168 = 3,232,168 : x
  2. Step 2: Convert to fraction form
    1,517,767/3,232,168 = 3,232,168/x
  3. Step 3: Cross multiply
    1,517,767x = 3,232,168 × 3,232,168
  4. Step 4: Simplify right side
    1,517,767x = 10,446,909,980,224
  5. Step 5: Solve for x
    x = 10,446,909,980,224/1,517,767
  6. Step 6: Final answer
    x = 6,883,078.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.