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Finding the Third Proportional to 498,437 and 1,093,376

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Solution

The third proportional to 498,437 and 1,093,376 is: 2,398,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,437 : 1,093,376 = 1,093,376 : x
  2. Step 2: Convert to fraction form
    498,437/1,093,376 = 1,093,376/x
  3. Step 3: Cross multiply
    498,437x = 1,093,376 × 1,093,376
  4. Step 4: Simplify right side
    498,437x = 1,195,471,077,376
  5. Step 5: Solve for x
    x = 1,195,471,077,376/498,437
  6. Step 6: Final answer
    x = 2,398,439.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.