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Finding the Third Proportional to 395,385,197 and 823,495,744

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Solution

The third proportional to 395,385,197 and 823,495,744 is: 1,715,150,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,385,197 : 823,495,744 = 823,495,744 : x
  2. Step 2: Convert to fraction form
    395,385,197/823,495,744 = 823,495,744/x
  3. Step 3: Cross multiply
    395,385,197x = 823,495,744 × 823,495,744
  4. Step 4: Simplify right side
    395,385,197x = 678,145,240,386,113,536
  5. Step 5: Solve for x
    x = 678,145,240,386,113,536/395,385,197
  6. Step 6: Final answer
    x = 1,715,150,808.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.