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Finding the Third Proportional to 475,131 and 1,024,530

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Solution

The third proportional to 475,131 and 1,024,530 is: 2,209,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,131 : 1,024,530 = 1,024,530 : x
  2. Step 2: Convert to fraction form
    475,131/1,024,530 = 1,024,530/x
  3. Step 3: Cross multiply
    475,131x = 1,024,530 × 1,024,530
  4. Step 4: Simplify right side
    475,131x = 1,049,661,720,900
  5. Step 5: Solve for x
    x = 1,049,661,720,900/475,131
  6. Step 6: Final answer
    x = 2,209,204.87

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