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Finding the Third Proportional to 424,972 and 927,218

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Solution

The third proportional to 424,972 and 927,218 is: 2,023,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,972 : 927,218 = 927,218 : x
  2. Step 2: Convert to fraction form
    424,972/927,218 = 927,218/x
  3. Step 3: Cross multiply
    424,972x = 927,218 × 927,218
  4. Step 4: Simplify right side
    424,972x = 859,733,219,524
  5. Step 5: Solve for x
    x = 859,733,219,524/424,972
  6. Step 6: Final answer
    x = 2,023,034.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.