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Finding the Third Proportional to 2,172,021.75 and 2,856,205.13

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Solution

The third proportional to 2,172,021.75 and 2,856,205.13 is: 3,755,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,021.75 : 2,856,205.13 = 2,856,205.13 : x
  2. Step 2: Convert to fraction form
    2,172,021.75/2,856,205.13 = 2,856,205.13/x
  3. Step 3: Cross multiply
    2,172,021.75x = 2,856,205.13 × 2,856,205.13
  4. Step 4: Simplify right side
    2,172,021.75x = 8,157,907,716,076.27
  5. Step 5: Solve for x
    x = 8,157,907,716,076.27/2,172,021.75
  6. Step 6: Final answer
    x = 3,755,905.17

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.