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Finding the Third Proportional to 519,965,568 and 1,121,832,828

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Solution

The third proportional to 519,965,568 and 1,121,832,828 is: 2,420,369,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,965,568 : 1,121,832,828 = 1,121,832,828 : x
  2. Step 2: Convert to fraction form
    519,965,568/1,121,832,828 = 1,121,832,828/x
  3. Step 3: Cross multiply
    519,965,568x = 1,121,832,828 × 1,121,832,828
  4. Step 4: Simplify right side
    519,965,568x = 1,258,508,893,978,477,568
  5. Step 5: Solve for x
    x = 1,258,508,893,978,477,568/519,965,568
  6. Step 6: Final answer
    x = 2,420,369,677.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.