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Finding the Third Proportional to 627,135 and 946,580

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Solution

The third proportional to 627,135 and 946,580 is: 1,428,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,135 : 946,580 = 946,580 : x
  2. Step 2: Convert to fraction form
    627,135/946,580 = 946,580/x
  3. Step 3: Cross multiply
    627,135x = 946,580 × 946,580
  4. Step 4: Simplify right side
    627,135x = 896,013,696,400
  5. Step 5: Solve for x
    x = 896,013,696,400/627,135
  6. Step 6: Final answer
    x = 1,428,741.33

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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.