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Finding the Third Proportional to 503,872 and 1,106,037

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Solution

The third proportional to 503,872 and 1,106,037 is: 2,427,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,872 : 1,106,037 = 1,106,037 : x
  2. Step 2: Convert to fraction form
    503,872/1,106,037 = 1,106,037/x
  3. Step 3: Cross multiply
    503,872x = 1,106,037 × 1,106,037
  4. Step 4: Simplify right side
    503,872x = 1,223,317,845,369
  5. Step 5: Solve for x
    x = 1,223,317,845,369/503,872
  6. Step 6: Final answer
    x = 2,427,834.54

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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.