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Finding the Third Proportional to 834,043 and 1,817,775

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Solution

The third proportional to 834,043 and 1,817,775 is: 3,961,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,043 : 1,817,775 = 1,817,775 : x
  2. Step 2: Convert to fraction form
    834,043/1,817,775 = 1,817,775/x
  3. Step 3: Cross multiply
    834,043x = 1,817,775 × 1,817,775
  4. Step 4: Simplify right side
    834,043x = 3,304,305,950,625
  5. Step 5: Solve for x
    x = 3,304,305,950,625/834,043
  6. Step 6: Final answer
    x = 3,961,793.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.