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Finding the Third Proportional to 270,568,622 and 579,400,972

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Solution

The third proportional to 270,568,622 and 579,400,972 is: 1,240,740,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,568,622 : 579,400,972 = 579,400,972 : x
  2. Step 2: Convert to fraction form
    270,568,622/579,400,972 = 579,400,972/x
  3. Step 3: Cross multiply
    270,568,622x = 579,400,972 × 579,400,972
  4. Step 4: Simplify right side
    270,568,622x = 335,705,486,354,544,768
  5. Step 5: Solve for x
    x = 335,705,486,354,544,768/270,568,622
  6. Step 6: Final answer
    x = 1,240,740,644.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.