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Finding the Third Proportional to 627,374 and 946,947

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Solution

The third proportional to 627,374 and 946,947 is: 1,429,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,374 : 946,947 = 946,947 : x
  2. Step 2: Convert to fraction form
    627,374/946,947 = 946,947/x
  3. Step 3: Cross multiply
    627,374x = 946,947 × 946,947
  4. Step 4: Simplify right side
    627,374x = 896,708,620,809
  5. Step 5: Solve for x
    x = 896,708,620,809/627,374
  6. Step 6: Final answer
    x = 1,429,304.72

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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.