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Finding the Third Proportional to 836,032 and 1,829,120

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Solution

The third proportional to 836,032 and 1,829,120 is: 4,001,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,032 : 1,829,120 = 1,829,120 : x
  2. Step 2: Convert to fraction form
    836,032/1,829,120 = 1,829,120/x
  3. Step 3: Cross multiply
    836,032x = 1,829,120 × 1,829,120
  4. Step 4: Simplify right side
    836,032x = 3,345,679,974,400
  5. Step 5: Solve for x
    x = 3,345,679,974,400/836,032
  6. Step 6: Final answer
    x = 4,001,856.36

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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.