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Finding the Third Proportional to 627,129 and 946,569.38

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Solution

The third proportional to 627,129 and 946,569.38 is: 1,428,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,129 : 946,569.38 = 946,569.38 : x
  2. Step 2: Convert to fraction form
    627,129/946,569.38 = 946,569.38/x
  3. Step 3: Cross multiply
    627,129x = 946,569.38 × 946,569.38
  4. Step 4: Simplify right side
    627,129x = 895,993,581,687.89
  5. Step 5: Solve for x
    x = 895,993,581,687.89/627,129
  6. Step 6: Final answer
    x = 1,428,722.93

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