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Finding the Third Proportional to 399,657 and 855,996

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Solution

The third proportional to 399,657 and 855,996 is: 1,833,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,657 : 855,996 = 855,996 : x
  2. Step 2: Convert to fraction form
    399,657/855,996 = 855,996/x
  3. Step 3: Cross multiply
    399,657x = 855,996 × 855,996
  4. Step 4: Simplify right side
    399,657x = 732,729,152,016
  5. Step 5: Solve for x
    x = 732,729,152,016/399,657
  6. Step 6: Final answer
    x = 1,833,395.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.