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Finding the Third Proportional to 3,081,279.75 and 4,808,454.38

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Solution

The third proportional to 3,081,279.75 and 4,808,454.38 is: 7,503,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081,279.75 : 4,808,454.38 = 4,808,454.38 : x
  2. Step 2: Convert to fraction form
    3,081,279.75/4,808,454.38 = 4,808,454.38/x
  3. Step 3: Cross multiply
    3,081,279.75x = 4,808,454.38 × 4,808,454.38
  4. Step 4: Simplify right side
    3,081,279.75x = 23,121,233,476,456.64
  5. Step 5: Solve for x
    x = 23,121,233,476,456.64/3,081,279.75
  6. Step 6: Final answer
    x = 7,503,776.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.