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Finding the Third Proportional to 920,097 and 2,002,194

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Solution

The third proportional to 920,097 and 2,002,194 is: 4,356,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,097 : 2,002,194 = 2,002,194 : x
  2. Step 2: Convert to fraction form
    920,097/2,002,194 = 2,002,194/x
  3. Step 3: Cross multiply
    920,097x = 2,002,194 × 2,002,194
  4. Step 4: Simplify right side
    920,097x = 4,008,780,813,636
  5. Step 5: Solve for x
    x = 4,008,780,813,636/920,097
  6. Step 6: Final answer
    x = 4,356,911.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.