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Finding the Third Proportional to 764,552 and 1,214,412

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Solution

The third proportional to 764,552 and 1,214,412 is: 1,928,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,552 : 1,214,412 = 1,214,412 : x
  2. Step 2: Convert to fraction form
    764,552/1,214,412 = 1,214,412/x
  3. Step 3: Cross multiply
    764,552x = 1,214,412 × 1,214,412
  4. Step 4: Simplify right side
    764,552x = 1,474,796,505,744
  5. Step 5: Solve for x
    x = 1,474,796,505,744/764,552
  6. Step 6: Final answer
    x = 1,928,968.21

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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.