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Finding the Third Proportional to 395,263,585 and 858,570,370

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Solution

The third proportional to 395,263,585 and 858,570,370 is: 1,864,940,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,263,585 : 858,570,370 = 858,570,370 : x
  2. Step 2: Convert to fraction form
    395,263,585/858,570,370 = 858,570,370/x
  3. Step 3: Cross multiply
    395,263,585x = 858,570,370 × 858,570,370
  4. Step 4: Simplify right side
    395,263,585x = 737,143,080,241,936,896
  5. Step 5: Solve for x
    x = 737,143,080,241,936,896/395,263,585
  6. Step 6: Final answer
    x = 1,864,940,531.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.