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Finding the Third Proportional to 477,869 and 1,041,274

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Solution

The third proportional to 477,869 and 1,041,274 is: 2,268,930.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,869 : 1,041,274 = 1,041,274 : x
  2. Step 2: Convert to fraction form
    477,869/1,041,274 = 1,041,274/x
  3. Step 3: Cross multiply
    477,869x = 1,041,274 × 1,041,274
  4. Step 4: Simplify right side
    477,869x = 1,084,251,543,076
  5. Step 5: Solve for x
    x = 1,084,251,543,076/477,869
  6. Step 6: Final answer
    x = 2,268,930.49

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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.