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Finding the Third Proportional to 1,289,118 and 2,764,764

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Solution

The third proportional to 1,289,118 and 2,764,764 is: 5,929,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,118 : 2,764,764 = 2,764,764 : x
  2. Step 2: Convert to fraction form
    1,289,118/2,764,764 = 2,764,764/x
  3. Step 3: Cross multiply
    1,289,118x = 2,764,764 × 2,764,764
  4. Step 4: Simplify right side
    1,289,118x = 7,643,919,975,696
  5. Step 5: Solve for x
    x = 7,643,919,975,696/1,289,118
  6. Step 6: Final answer
    x = 5,929,573.53

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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.