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Finding the Third Proportional to 627,925 and 1,002,477

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Solution

The third proportional to 627,925 and 1,002,477 is: 1,600,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,925 : 1,002,477 = 1,002,477 : x
  2. Step 2: Convert to fraction form
    627,925/1,002,477 = 1,002,477/x
  3. Step 3: Cross multiply
    627,925x = 1,002,477 × 1,002,477
  4. Step 4: Simplify right side
    627,925x = 1,004,960,135,529
  5. Step 5: Solve for x
    x = 1,004,960,135,529/627,925
  6. Step 6: Final answer
    x = 1,600,446.13

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.