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Finding the Third Proportional to 627,447 and 969,498

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Solution

The third proportional to 627,447 and 969,498 is: 1,498,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,447 : 969,498 = 969,498 : x
  2. Step 2: Convert to fraction form
    627,447/969,498 = 969,498/x
  3. Step 3: Cross multiply
    627,447x = 969,498 × 969,498
  4. Step 4: Simplify right side
    627,447x = 939,926,372,004
  5. Step 5: Solve for x
    x = 939,926,372,004/627,447
  6. Step 6: Final answer
    x = 1,498,017.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.