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Finding the Third Proportional to 1,196,769 and 2,561,652

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Solution

The third proportional to 1,196,769 and 2,561,652 is: 5,483,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,769 : 2,561,652 = 2,561,652 : x
  2. Step 2: Convert to fraction form
    1,196,769/2,561,652 = 2,561,652/x
  3. Step 3: Cross multiply
    1,196,769x = 2,561,652 × 2,561,652
  4. Step 4: Simplify right side
    1,196,769x = 6,562,060,969,104
  5. Step 5: Solve for x
    x = 6,562,060,969,104/1,196,769
  6. Step 6: Final answer
    x = 5,483,147.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.