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Finding the Third Proportional to 409,680 and 894,396

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Solution

The third proportional to 409,680 and 894,396 is: 1,952,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,680 : 894,396 = 894,396 : x
  2. Step 2: Convert to fraction form
    409,680/894,396 = 894,396/x
  3. Step 3: Cross multiply
    409,680x = 894,396 × 894,396
  4. Step 4: Simplify right side
    409,680x = 799,944,204,816
  5. Step 5: Solve for x
    x = 799,944,204,816/409,680
  6. Step 6: Final answer
    x = 1,952,607.41

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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.