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Finding the Third Proportional to 467,625 and 1,013,946

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Solution

The third proportional to 467,625 and 1,013,946 is: 2,198,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,625 : 1,013,946 = 1,013,946 : x
  2. Step 2: Convert to fraction form
    467,625/1,013,946 = 1,013,946/x
  3. Step 3: Cross multiply
    467,625x = 1,013,946 × 1,013,946
  4. Step 4: Simplify right side
    467,625x = 1,028,086,490,916
  5. Step 5: Solve for x
    x = 1,028,086,490,916/467,625
  6. Step 6: Final answer
    x = 2,198,527.65

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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.