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Finding the Third Proportional to 834,834 and 1,827,108

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Solution

The third proportional to 834,834 and 1,827,108 is: 3,998,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,834 : 1,827,108 = 1,827,108 : x
  2. Step 2: Convert to fraction form
    834,834/1,827,108 = 1,827,108/x
  3. Step 3: Cross multiply
    834,834x = 1,827,108 × 1,827,108
  4. Step 4: Simplify right side
    834,834x = 3,338,323,643,664
  5. Step 5: Solve for x
    x = 3,338,323,643,664/834,834
  6. Step 6: Final answer
    x = 3,998,787.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.