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Finding the Third Proportional to 891,208 and 1,855,856

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Solution

The third proportional to 891,208 and 1,855,856 is: 3,864,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,208 : 1,855,856 = 1,855,856 : x
  2. Step 2: Convert to fraction form
    891,208/1,855,856 = 1,855,856/x
  3. Step 3: Cross multiply
    891,208x = 1,855,856 × 1,855,856
  4. Step 4: Simplify right side
    891,208x = 3,444,201,492,736
  5. Step 5: Solve for x
    x = 3,444,201,492,736/891,208
  6. Step 6: Final answer
    x = 3,864,643.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.