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Finding the Third Proportional to 857,806 and 1,856,831

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Solution

The third proportional to 857,806 and 1,856,831 is: 4,019,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,806 : 1,856,831 = 1,856,831 : x
  2. Step 2: Convert to fraction form
    857,806/1,856,831 = 1,856,831/x
  3. Step 3: Cross multiply
    857,806x = 1,856,831 × 1,856,831
  4. Step 4: Simplify right side
    857,806x = 3,447,821,362,561
  5. Step 5: Solve for x
    x = 3,447,821,362,561/857,806
  6. Step 6: Final answer
    x = 4,019,348.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.