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Finding the Third Proportional to 409,730 and 894,176

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Solution

The third proportional to 409,730 and 894,176 is: 1,951,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,730 : 894,176 = 894,176 : x
  2. Step 2: Convert to fraction form
    409,730/894,176 = 894,176/x
  3. Step 3: Cross multiply
    409,730x = 894,176 × 894,176
  4. Step 4: Simplify right side
    409,730x = 799,550,718,976
  5. Step 5: Solve for x
    x = 799,550,718,976/409,730
  6. Step 6: Final answer
    x = 1,951,408.78

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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.