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Finding the Third Proportional to 558,568,420 and 1,175,021,384

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Solution

The third proportional to 558,568,420 and 1,175,021,384 is: 2,471,810,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,568,420 : 1,175,021,384 = 1,175,021,384 : x
  2. Step 2: Convert to fraction form
    558,568,420/1,175,021,384 = 1,175,021,384/x
  3. Step 3: Cross multiply
    558,568,420x = 1,175,021,384 × 1,175,021,384
  4. Step 4: Simplify right side
    558,568,420x = 1,380,675,252,857,275,392
  5. Step 5: Solve for x
    x = 1,380,675,252,857,275,392/558,568,420
  6. Step 6: Final answer
    x = 2,471,810,441.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.