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Finding the Third Proportional to 414,535,896 and 886,467,416

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Solution

The third proportional to 414,535,896 and 886,467,416 is: 1,895,672,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,535,896 : 886,467,416 = 886,467,416 : x
  2. Step 2: Convert to fraction form
    414,535,896/886,467,416 = 886,467,416/x
  3. Step 3: Cross multiply
    414,535,896x = 886,467,416 × 886,467,416
  4. Step 4: Simplify right side
    414,535,896x = 785,824,479,629,716,992
  5. Step 5: Solve for x
    x = 785,824,479,629,716,992/414,535,896
  6. Step 6: Final answer
    x = 1,895,672,937.40

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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.