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Finding the Third Proportional to 764,529 and 1,214,595

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Solution

The third proportional to 764,529 and 1,214,595 is: 1,929,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,529 : 1,214,595 = 1,214,595 : x
  2. Step 2: Convert to fraction form
    764,529/1,214,595 = 1,214,595/x
  3. Step 3: Cross multiply
    764,529x = 1,214,595 × 1,214,595
  4. Step 4: Simplify right side
    764,529x = 1,475,241,014,025
  5. Step 5: Solve for x
    x = 1,475,241,014,025/764,529
  6. Step 6: Final answer
    x = 1,929,607.66

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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.