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Finding the Third Proportional to 498,466 and 1,093,433

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Solution

The third proportional to 498,466 and 1,093,433 is: 2,398,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,466 : 1,093,433 = 1,093,433 : x
  2. Step 2: Convert to fraction form
    498,466/1,093,433 = 1,093,433/x
  3. Step 3: Cross multiply
    498,466x = 1,093,433 × 1,093,433
  4. Step 4: Simplify right side
    498,466x = 1,195,595,725,489
  5. Step 5: Solve for x
    x = 1,195,595,725,489/498,466
  6. Step 6: Final answer
    x = 2,398,550.20

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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.