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Finding the Third Proportional to 920,201 and 1,885,023

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Solution

The third proportional to 920,201 and 1,885,023 is: 3,861,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,201 : 1,885,023 = 1,885,023 : x
  2. Step 2: Convert to fraction form
    920,201/1,885,023 = 1,885,023/x
  3. Step 3: Cross multiply
    920,201x = 1,885,023 × 1,885,023
  4. Step 4: Simplify right side
    920,201x = 3,553,311,710,529
  5. Step 5: Solve for x
    x = 3,553,311,710,529/920,201
  6. Step 6: Final answer
    x = 3,861,451.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.