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Finding the Third Proportional to 410,711 and 898,847

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Solution

The third proportional to 410,711 and 898,847 is: 1,967,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,711 : 898,847 = 898,847 : x
  2. Step 2: Convert to fraction form
    410,711/898,847 = 898,847/x
  3. Step 3: Cross multiply
    410,711x = 898,847 × 898,847
  4. Step 4: Simplify right side
    410,711x = 807,925,929,409
  5. Step 5: Solve for x
    x = 807,925,929,409/410,711
  6. Step 6: Final answer
    x = 1,967,139.74

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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.