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Finding the Third Proportional to 409,508 and 894,664

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Solution

The third proportional to 409,508 and 894,664 is: 1,954,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,508 : 894,664 = 894,664 : x
  2. Step 2: Convert to fraction form
    409,508/894,664 = 894,664/x
  3. Step 3: Cross multiply
    409,508x = 894,664 × 894,664
  4. Step 4: Simplify right side
    409,508x = 800,423,672,896
  5. Step 5: Solve for x
    x = 800,423,672,896/409,508
  6. Step 6: Final answer
    x = 1,954,598.38

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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.