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Finding the Third Proportional to 844,462 and 1,307,084

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Solution

The third proportional to 844,462 and 1,307,084 is: 2,023,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,462 : 1,307,084 = 1,307,084 : x
  2. Step 2: Convert to fraction form
    844,462/1,307,084 = 1,307,084/x
  3. Step 3: Cross multiply
    844,462x = 1,307,084 × 1,307,084
  4. Step 4: Simplify right side
    844,462x = 1,708,468,583,056
  5. Step 5: Solve for x
    x = 1,708,468,583,056/844,462
  6. Step 6: Final answer
    x = 2,023,144.42

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