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Finding the Third Proportional to 503,863 and 1,106,019

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Solution

The third proportional to 503,863 and 1,106,019 is: 2,427,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,863 : 1,106,019 = 1,106,019 : x
  2. Step 2: Convert to fraction form
    503,863/1,106,019 = 1,106,019/x
  3. Step 3: Cross multiply
    503,863x = 1,106,019 × 1,106,019
  4. Step 4: Simplify right side
    503,863x = 1,223,278,028,361
  5. Step 5: Solve for x
    x = 1,223,278,028,361/503,863
  6. Step 6: Final answer
    x = 2,427,798.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.