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Finding the Third Proportional to 2,241,678.38 and 4,642,863.75

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Solution

The third proportional to 2,241,678.38 and 4,642,863.75 is: 9,616,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,678.38 : 4,642,863.75 = 4,642,863.75 : x
  2. Step 2: Convert to fraction form
    2,241,678.38/4,642,863.75 = 4,642,863.75/x
  3. Step 3: Cross multiply
    2,241,678.38x = 4,642,863.75 × 4,642,863.75
  4. Step 4: Simplify right side
    2,241,678.38x = 21,556,183,801,064.06
  5. Step 5: Solve for x
    x = 21,556,183,801,064.06/2,241,678.38
  6. Step 6: Final answer
    x = 9,616,091.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.