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Finding the Third Proportional to 834,013 and 1,786,124

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Solution

The third proportional to 834,013 and 1,786,124 is: 3,825,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,013 : 1,786,124 = 1,786,124 : x
  2. Step 2: Convert to fraction form
    834,013/1,786,124 = 1,786,124/x
  3. Step 3: Cross multiply
    834,013x = 1,786,124 × 1,786,124
  4. Step 4: Simplify right side
    834,013x = 3,190,238,943,376
  5. Step 5: Solve for x
    x = 3,190,238,943,376/834,013
  6. Step 6: Final answer
    x = 3,825,166.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.