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Finding the Third Proportional to 984,312 and 1,542,078

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Solution

The third proportional to 984,312 and 1,542,078 is: 2,415,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,312 : 1,542,078 = 1,542,078 : x
  2. Step 2: Convert to fraction form
    984,312/1,542,078 = 1,542,078/x
  3. Step 3: Cross multiply
    984,312x = 1,542,078 × 1,542,078
  4. Step 4: Simplify right side
    984,312x = 2,378,004,558,084
  5. Step 5: Solve for x
    x = 2,378,004,558,084/984,312
  6. Step 6: Final answer
    x = 2,415,905.28

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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.