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Finding the Third Proportional to 433,474 and 1,044,270

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Solution

The third proportional to 433,474 and 1,044,270 is: 2,515,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,474 : 1,044,270 = 1,044,270 : x
  2. Step 2: Convert to fraction form
    433,474/1,044,270 = 1,044,270/x
  3. Step 3: Cross multiply
    433,474x = 1,044,270 × 1,044,270
  4. Step 4: Simplify right side
    433,474x = 1,090,499,832,900
  5. Step 5: Solve for x
    x = 1,090,499,832,900/433,474
  6. Step 6: Final answer
    x = 2,515,721.43

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.