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Finding the Third Proportional to 518,908,504 and 835,613,589

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Solution

The third proportional to 518,908,504 and 835,613,589 is: 1,345,613,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,908,504 : 835,613,589 = 835,613,589 : x
  2. Step 2: Convert to fraction form
    518,908,504/835,613,589 = 835,613,589/x
  3. Step 3: Cross multiply
    518,908,504x = 835,613,589 × 835,613,589
  4. Step 4: Simplify right side
    518,908,504x = 698,250,070,121,460,864
  5. Step 5: Solve for x
    x = 698,250,070,121,460,864/518,908,504
  6. Step 6: Final answer
    x = 1,345,613,079.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.