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Finding the Third Proportional to 627,694 and 805,946

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Solution

The third proportional to 627,694 and 805,946 is: 1,034,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,694 : 805,946 = 805,946 : x
  2. Step 2: Convert to fraction form
    627,694/805,946 = 805,946/x
  3. Step 3: Cross multiply
    627,694x = 805,946 × 805,946
  4. Step 4: Simplify right side
    627,694x = 649,548,954,916
  5. Step 5: Solve for x
    x = 649,548,954,916/627,694
  6. Step 6: Final answer
    x = 1,034,817.85

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.