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Finding the Third Proportional to 629,188 and 1,358,472

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Solution

The third proportional to 629,188 and 1,358,472 is: 2,933,060.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,188 : 1,358,472 = 1,358,472 : x
  2. Step 2: Convert to fraction form
    629,188/1,358,472 = 1,358,472/x
  3. Step 3: Cross multiply
    629,188x = 1,358,472 × 1,358,472
  4. Step 4: Simplify right side
    629,188x = 1,845,446,174,784
  5. Step 5: Solve for x
    x = 1,845,446,174,784/629,188
  6. Step 6: Final answer
    x = 2,933,060.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.