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Finding the Third Proportional to 1,196,800 and 2,580,224

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Solution

The third proportional to 1,196,800 and 2,580,224 is: 5,562,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,800 : 2,580,224 = 2,580,224 : x
  2. Step 2: Convert to fraction form
    1,196,800/2,580,224 = 2,580,224/x
  3. Step 3: Cross multiply
    1,196,800x = 2,580,224 × 2,580,224
  4. Step 4: Simplify right side
    1,196,800x = 6,657,555,890,176
  5. Step 5: Solve for x
    x = 6,657,555,890,176/1,196,800
  6. Step 6: Final answer
    x = 5,562,797.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.