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Finding the Third Proportional to 409,234.78 and 883,806.19

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Solution

The third proportional to 409,234.78 and 883,806.19 is: 1,908,716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,234.78 : 883,806.19 = 883,806.19 : x
  2. Step 2: Convert to fraction form
    409,234.78/883,806.19 = 883,806.19/x
  3. Step 3: Cross multiply
    409,234.78x = 883,806.19 × 883,806.19
  4. Step 4: Simplify right side
    409,234.78x = 781,113,377,063.29
  5. Step 5: Solve for x
    x = 781,113,377,063.29/409,234.78
  6. Step 6: Final answer
    x = 1,908,716.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.