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Finding the Third Proportional to 2,556,800 and 5,681,152

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Solution

The third proportional to 2,556,800 and 5,681,152 is: 12,623,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556,800 : 5,681,152 = 5,681,152 : x
  2. Step 2: Convert to fraction form
    2,556,800/5,681,152 = 5,681,152/x
  3. Step 3: Cross multiply
    2,556,800x = 5,681,152 × 5,681,152
  4. Step 4: Simplify right side
    2,556,800x = 32,275,488,047,104
  5. Step 5: Solve for x
    x = 32,275,488,047,104/2,556,800
  6. Step 6: Final answer
    x = 12,623,391.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.