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Finding the Third Proportional to 427,588.69 and 929,601.56

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Solution

The third proportional to 427,588.69 and 929,601.56 is: 2,021,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,588.69 : 929,601.56 = 929,601.56 : x
  2. Step 2: Convert to fraction form
    427,588.69/929,601.56 = 929,601.56/x
  3. Step 3: Cross multiply
    427,588.69x = 929,601.56 × 929,601.56
  4. Step 4: Simplify right side
    427,588.69x = 864,159,065,002.44
  5. Step 5: Solve for x
    x = 864,159,065,002.44/427,588.69
  6. Step 6: Final answer
    x = 2,021,005.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.