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Finding the Third Proportional to 410,741 and 898,782

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Solution

The third proportional to 410,741 and 898,782 is: 1,966,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,741 : 898,782 = 898,782 : x
  2. Step 2: Convert to fraction form
    410,741/898,782 = 898,782/x
  3. Step 3: Cross multiply
    410,741x = 898,782 × 898,782
  4. Step 4: Simplify right side
    410,741x = 807,809,083,524
  5. Step 5: Solve for x
    x = 807,809,083,524/410,741
  6. Step 6: Final answer
    x = 1,966,711.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.