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Finding the Third Proportional to 807,056 and 1,206,277

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Solution

The third proportional to 807,056 and 1,206,277 is: 1,802,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,056 : 1,206,277 = 1,206,277 : x
  2. Step 2: Convert to fraction form
    807,056/1,206,277 = 1,206,277/x
  3. Step 3: Cross multiply
    807,056x = 1,206,277 × 1,206,277
  4. Step 4: Simplify right side
    807,056x = 1,455,104,200,729
  5. Step 5: Solve for x
    x = 1,455,104,200,729/807,056
  6. Step 6: Final answer
    x = 1,802,977.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.