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Finding the Third Proportional to 519,560 and 1,079,938

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Solution

The third proportional to 519,560 and 1,079,938 is: 2,244,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,560 : 1,079,938 = 1,079,938 : x
  2. Step 2: Convert to fraction form
    519,560/1,079,938 = 1,079,938/x
  3. Step 3: Cross multiply
    519,560x = 1,079,938 × 1,079,938
  4. Step 4: Simplify right side
    519,560x = 1,166,266,083,844
  5. Step 5: Solve for x
    x = 1,166,266,083,844/519,560
  6. Step 6: Final answer
    x = 2,244,718.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.