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Finding the Third Proportional to 2,826,160 and 6,189,764

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Solution

The third proportional to 2,826,160 and 6,189,764 is: 13,556,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826,160 : 6,189,764 = 6,189,764 : x
  2. Step 2: Convert to fraction form
    2,826,160/6,189,764 = 6,189,764/x
  3. Step 3: Cross multiply
    2,826,160x = 6,189,764 × 6,189,764
  4. Step 4: Simplify right side
    2,826,160x = 38,313,178,375,696
  5. Step 5: Solve for x
    x = 38,313,178,375,696/2,826,160
  6. Step 6: Final answer
    x = 13,556,620.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.