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Finding the Third Proportional to 627,476 and 969,557

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Solution

The third proportional to 627,476 and 969,557 is: 1,498,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,476 : 969,557 = 969,557 : x
  2. Step 2: Convert to fraction form
    627,476/969,557 = 969,557/x
  3. Step 3: Cross multiply
    627,476x = 969,557 × 969,557
  4. Step 4: Simplify right side
    627,476x = 940,040,776,249
  5. Step 5: Solve for x
    x = 940,040,776,249/627,476
  6. Step 6: Final answer
    x = 1,498,130.25

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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.