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Finding the Third Proportional to 427,061 and 906,799

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Solution

The third proportional to 427,061 and 906,799 is: 1,925,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,061 : 906,799 = 906,799 : x
  2. Step 2: Convert to fraction form
    427,061/906,799 = 906,799/x
  3. Step 3: Cross multiply
    427,061x = 906,799 × 906,799
  4. Step 4: Simplify right side
    427,061x = 822,284,426,401
  5. Step 5: Solve for x
    x = 822,284,426,401/427,061
  6. Step 6: Final answer
    x = 1,925,449.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.