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Finding the Third Proportional to 662,622 and 1,033,302

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Solution

The third proportional to 662,622 and 1,033,302 is: 1,611,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,622 : 1,033,302 = 1,033,302 : x
  2. Step 2: Convert to fraction form
    662,622/1,033,302 = 1,033,302/x
  3. Step 3: Cross multiply
    662,622x = 1,033,302 × 1,033,302
  4. Step 4: Simplify right side
    662,622x = 1,067,713,023,204
  5. Step 5: Solve for x
    x = 1,067,713,023,204/662,622
  6. Step 6: Final answer
    x = 1,611,345.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.