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Finding the Third Proportional to 410,156 and 885,736

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Solution

The third proportional to 410,156 and 885,736 is: 1,912,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,156 : 885,736 = 885,736 : x
  2. Step 2: Convert to fraction form
    410,156/885,736 = 885,736/x
  3. Step 3: Cross multiply
    410,156x = 885,736 × 885,736
  4. Step 4: Simplify right side
    410,156x = 784,528,261,696
  5. Step 5: Solve for x
    x = 784,528,261,696/410,156
  6. Step 6: Final answer
    x = 1,912,755.78

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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.