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Finding the Third Proportional to 1,306,993 and 2,831,107

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Solution

The third proportional to 1,306,993 and 2,831,107 is: 6,132,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,993 : 2,831,107 = 2,831,107 : x
  2. Step 2: Convert to fraction form
    1,306,993/2,831,107 = 2,831,107/x
  3. Step 3: Cross multiply
    1,306,993x = 2,831,107 × 2,831,107
  4. Step 4: Simplify right side
    1,306,993x = 8,015,166,845,449
  5. Step 5: Solve for x
    x = 8,015,166,845,449/1,306,993
  6. Step 6: Final answer
    x = 6,132,524.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.