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Finding the Third Proportional to 616,902 and 1,427,997

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Solution

The third proportional to 616,902 and 1,427,997 is: 3,305,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,902 : 1,427,997 = 1,427,997 : x
  2. Step 2: Convert to fraction form
    616,902/1,427,997 = 1,427,997/x
  3. Step 3: Cross multiply
    616,902x = 1,427,997 × 1,427,997
  4. Step 4: Simplify right side
    616,902x = 2,039,175,432,009
  5. Step 5: Solve for x
    x = 2,039,175,432,009/616,902
  6. Step 6: Final answer
    x = 3,305,509.52

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.