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Finding the Third Proportional to 414,535,948 and 886,467,524

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Solution

The third proportional to 414,535,948 and 886,467,524 is: 1,895,673,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535,948 : 886,467,524 = 886,467,524 : x
  2. Step 2: Convert to fraction form
    414,535,948/886,467,524 = 886,467,524/x
  3. Step 3: Cross multiply
    414,535,948x = 886,467,524 × 886,467,524
  4. Step 4: Simplify right side
    414,535,948x = 785,824,671,106,690,560
  5. Step 5: Solve for x
    x = 785,824,671,106,690,560/414,535,948
  6. Step 6: Final answer
    x = 1,895,673,161.51

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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.