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Finding the Third Proportional to 771,669 and 1,100,751

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Solution

The third proportional to 771,669 and 1,100,751 is: 1,570,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,669 : 1,100,751 = 1,100,751 : x
  2. Step 2: Convert to fraction form
    771,669/1,100,751 = 1,100,751/x
  3. Step 3: Cross multiply
    771,669x = 1,100,751 × 1,100,751
  4. Step 4: Simplify right side
    771,669x = 1,211,652,764,001
  5. Step 5: Solve for x
    x = 1,211,652,764,001/771,669
  6. Step 6: Final answer
    x = 1,570,171.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.