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Finding the Third Proportional to 627,410 and 946,961

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Solution

The third proportional to 627,410 and 946,961 is: 1,429,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,410 : 946,961 = 946,961 : x
  2. Step 2: Convert to fraction form
    627,410/946,961 = 946,961/x
  3. Step 3: Cross multiply
    627,410x = 946,961 × 946,961
  4. Step 4: Simplify right side
    627,410x = 896,735,135,521
  5. Step 5: Solve for x
    x = 896,735,135,521/627,410
  6. Step 6: Final answer
    x = 1,429,264.97

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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.