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Finding the Third Proportional to 395,270,433 and 858,584,448

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Solution

The third proportional to 395,270,433 and 858,584,448 is: 1,864,969,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,270,433 : 858,584,448 = 858,584,448 : x
  2. Step 2: Convert to fraction form
    395,270,433/858,584,448 = 858,584,448/x
  3. Step 3: Cross multiply
    395,270,433x = 858,584,448 × 858,584,448
  4. Step 4: Simplify right side
    395,270,433x = 737,167,254,347,464,704
  5. Step 5: Solve for x
    x = 737,167,254,347,464,704/395,270,433
  6. Step 6: Final answer
    x = 1,864,969,379.96

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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.