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Finding the Third Proportional to 451,106 and 979,948

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Solution

The third proportional to 451,106 and 979,948 is: 2,128,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,106 : 979,948 = 979,948 : x
  2. Step 2: Convert to fraction form
    451,106/979,948 = 979,948/x
  3. Step 3: Cross multiply
    451,106x = 979,948 × 979,948
  4. Step 4: Simplify right side
    451,106x = 960,298,082,704
  5. Step 5: Solve for x
    x = 960,298,082,704/451,106
  6. Step 6: Final answer
    x = 2,128,763.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.