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Finding the Third Proportional to 410,642,806 and 855,254,096

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Solution

The third proportional to 410,642,806 and 855,254,096 is: 1,781,255,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,642,806 : 855,254,096 = 855,254,096 : x
  2. Step 2: Convert to fraction form
    410,642,806/855,254,096 = 855,254,096/x
  3. Step 3: Cross multiply
    410,642,806x = 855,254,096 × 855,254,096
  4. Step 4: Simplify right side
    410,642,806x = 731,459,568,724,777,216
  5. Step 5: Solve for x
    x = 731,459,568,724,777,216/410,642,806
  6. Step 6: Final answer
    x = 1,781,255,042.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.