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Finding the Third Proportional to 627,133 and 946,577

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Solution

The third proportional to 627,133 and 946,577 is: 1,428,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,133 : 946,577 = 946,577 : x
  2. Step 2: Convert to fraction form
    627,133/946,577 = 946,577/x
  3. Step 3: Cross multiply
    627,133x = 946,577 × 946,577
  4. Step 4: Simplify right side
    627,133x = 896,008,016,929
  5. Step 5: Solve for x
    x = 896,008,016,929/627,133
  6. Step 6: Final answer
    x = 1,428,736.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.