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Finding the Third Proportional to 900,268 and 1,967,832

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Solution

The third proportional to 900,268 and 1,967,832 is: 4,301,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,268 : 1,967,832 = 1,967,832 : x
  2. Step 2: Convert to fraction form
    900,268/1,967,832 = 1,967,832/x
  3. Step 3: Cross multiply
    900,268x = 1,967,832 × 1,967,832
  4. Step 4: Simplify right side
    900,268x = 3,872,362,780,224
  5. Step 5: Solve for x
    x = 3,872,362,780,224/900,268
  6. Step 6: Final answer
    x = 4,301,344.47

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