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Finding the Third Proportional to 984,346 and 1,542,126

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Solution

The third proportional to 984,346 and 1,542,126 is: 2,415,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,346 : 1,542,126 = 1,542,126 : x
  2. Step 2: Convert to fraction form
    984,346/1,542,126 = 1,542,126/x
  3. Step 3: Cross multiply
    984,346x = 1,542,126 × 1,542,126
  4. Step 4: Simplify right side
    984,346x = 2,378,152,599,876
  5. Step 5: Solve for x
    x = 2,378,152,599,876/984,346
  6. Step 6: Final answer
    x = 2,415,972.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.