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Finding the Third Proportional to 397,652,685 and 836,514,192

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Solution

The third proportional to 397,652,685 and 836,514,192 is: 1,759,716,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,652,685 : 836,514,192 = 836,514,192 : x
  2. Step 2: Convert to fraction form
    397,652,685/836,514,192 = 836,514,192/x
  3. Step 3: Cross multiply
    397,652,685x = 836,514,192 × 836,514,192
  4. Step 4: Simplify right side
    397,652,685x = 699,755,993,417,412,864
  5. Step 5: Solve for x
    x = 699,755,993,417,412,864/397,652,685
  6. Step 6: Final answer
    x = 1,759,716,505.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.