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Finding the Third Proportional to 416,040,690 and 901,414,788

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Solution

The third proportional to 416,040,690 and 901,414,788 is: 1,953,050,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,040,690 : 901,414,788 = 901,414,788 : x
  2. Step 2: Convert to fraction form
    416,040,690/901,414,788 = 901,414,788/x
  3. Step 3: Cross multiply
    416,040,690x = 901,414,788 × 901,414,788
  4. Step 4: Simplify right side
    416,040,690x = 812,548,620,025,084,928
  5. Step 5: Solve for x
    x = 812,548,620,025,084,928/416,040,690
  6. Step 6: Final answer
    x = 1,953,050,842.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.