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Finding the Third Proportional to 834,027 and 1,380,444

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Solution

The third proportional to 834,027 and 1,380,444 is: 2,284,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,027 : 1,380,444 = 1,380,444 : x
  2. Step 2: Convert to fraction form
    834,027/1,380,444 = 1,380,444/x
  3. Step 3: Cross multiply
    834,027x = 1,380,444 × 1,380,444
  4. Step 4: Simplify right side
    834,027x = 1,905,625,637,136
  5. Step 5: Solve for x
    x = 1,905,625,637,136/834,027
  6. Step 6: Final answer
    x = 2,284,848.86

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.