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Finding the Third Proportional to 408,531,285 and 846,131,595.75

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Solution

The third proportional to 408,531,285 and 846,131,595.75 is: 1,752,469,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,531,285 : 846,131,595.75 = 846,131,595.75 : x
  2. Step 2: Convert to fraction form
    408,531,285/846,131,595.75 = 846,131,595.75/x
  3. Step 3: Cross multiply
    408,531,285x = 846,131,595.75 × 846,131,595.75
  4. Step 4: Simplify right side
    408,531,285x = 715,938,677,326,441,472
  5. Step 5: Solve for x
    x = 715,938,677,326,441,472/408,531,285
  6. Step 6: Final answer
    x = 1,752,469,648.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.