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Finding the Third Proportional to 639,485,532 and 1,399,514,409

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Solution

The third proportional to 639,485,532 and 1,399,514,409 is: 3,062,837,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,485,532 : 1,399,514,409 = 1,399,514,409 : x
  2. Step 2: Convert to fraction form
    639,485,532/1,399,514,409 = 1,399,514,409/x
  3. Step 3: Cross multiply
    639,485,532x = 1,399,514,409 × 1,399,514,409
  4. Step 4: Simplify right side
    639,485,532x = 1,958,640,580,998,619,392
  5. Step 5: Solve for x
    x = 1,958,640,580,998,619,392/639,485,532
  6. Step 6: Final answer
    x = 3,062,837,989.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.