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Finding the Third Proportional to 893,790 and 1,826,946

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Solution

The third proportional to 893,790 and 1,826,946 is: 3,734,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,790 : 1,826,946 = 1,826,946 : x
  2. Step 2: Convert to fraction form
    893,790/1,826,946 = 1,826,946/x
  3. Step 3: Cross multiply
    893,790x = 1,826,946 × 1,826,946
  4. Step 4: Simplify right side
    893,790x = 3,337,731,686,916
  5. Step 5: Solve for x
    x = 3,337,731,686,916/893,790
  6. Step 6: Final answer
    x = 3,734,357.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.