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Finding the Third Proportional to 414,535,942 and 886,467,508

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Solution

The third proportional to 414,535,942 and 886,467,508 is: 1,895,673,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535,942 : 886,467,508 = 886,467,508 : x
  2. Step 2: Convert to fraction form
    414,535,942/886,467,508 = 886,467,508/x
  3. Step 3: Cross multiply
    414,535,942x = 886,467,508 × 886,467,508
  4. Step 4: Simplify right side
    414,535,942x = 785,824,642,739,730,048
  5. Step 5: Solve for x
    x = 785,824,642,739,730,048/414,535,942
  6. Step 6: Final answer
    x = 1,895,673,120.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.