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Finding the Third Proportional to 857,472 and 1,846,002

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Solution

The third proportional to 857,472 and 1,846,002 is: 3,974,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,472 : 1,846,002 = 1,846,002 : x
  2. Step 2: Convert to fraction form
    857,472/1,846,002 = 1,846,002/x
  3. Step 3: Cross multiply
    857,472x = 1,846,002 × 1,846,002
  4. Step 4: Simplify right side
    857,472x = 3,407,723,384,004
  5. Step 5: Solve for x
    x = 3,407,723,384,004/857,472
  6. Step 6: Final answer
    x = 3,974,151.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.