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Finding the Third Proportional to 840,206 and 1,843,696

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Solution

The third proportional to 840,206 and 1,843,696 is: 4,045,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,206 : 1,843,696 = 1,843,696 : x
  2. Step 2: Convert to fraction form
    840,206/1,843,696 = 1,843,696/x
  3. Step 3: Cross multiply
    840,206x = 1,843,696 × 1,843,696
  4. Step 4: Simplify right side
    840,206x = 3,399,214,940,416
  5. Step 5: Solve for x
    x = 3,399,214,940,416/840,206
  6. Step 6: Final answer
    x = 4,045,692.30

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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.