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Finding the Third Proportional to 410,642,814 and 855,254,112

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Solution

The third proportional to 410,642,814 and 855,254,112 is: 1,781,255,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,642,814 : 855,254,112 = 855,254,112 : x
  2. Step 2: Convert to fraction form
    410,642,814/855,254,112 = 855,254,112/x
  3. Step 3: Cross multiply
    410,642,814x = 855,254,112 × 855,254,112
  4. Step 4: Simplify right side
    410,642,814x = 731,459,596,092,908,544
  5. Step 5: Solve for x
    x = 731,459,596,092,908,544/410,642,814
  6. Step 6: Final answer
    x = 1,781,255,074.13

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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.