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Finding the Third Proportional to 764,540 and 1,214,608

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Solution

The third proportional to 764,540 and 1,214,608 is: 1,929,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,540 : 1,214,608 = 1,214,608 : x
  2. Step 2: Convert to fraction form
    764,540/1,214,608 = 1,214,608/x
  3. Step 3: Cross multiply
    764,540x = 1,214,608 × 1,214,608
  4. Step 4: Simplify right side
    764,540x = 1,475,272,593,664
  5. Step 5: Solve for x
    x = 1,475,272,593,664/764,540
  6. Step 6: Final answer
    x = 1,929,621.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.