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Finding the Third Proportional to 764,274 and 1,665,886

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Solution

The third proportional to 764,274 and 1,665,886 is: 3,631,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,274 : 1,665,886 = 1,665,886 : x
  2. Step 2: Convert to fraction form
    764,274/1,665,886 = 1,665,886/x
  3. Step 3: Cross multiply
    764,274x = 1,665,886 × 1,665,886
  4. Step 4: Simplify right side
    764,274x = 2,775,176,164,996
  5. Step 5: Solve for x
    x = 2,775,176,164,996/764,274
  6. Step 6: Final answer
    x = 3,631,127.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.