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Finding the Third Proportional to 764,136 and 1,641,024

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Solution

The third proportional to 764,136 and 1,641,024 is: 3,524,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,136 : 1,641,024 = 1,641,024 : x
  2. Step 2: Convert to fraction form
    764,136/1,641,024 = 1,641,024/x
  3. Step 3: Cross multiply
    764,136x = 1,641,024 × 1,641,024
  4. Step 4: Simplify right side
    764,136x = 2,692,959,768,576
  5. Step 5: Solve for x
    x = 2,692,959,768,576/764,136
  6. Step 6: Final answer
    x = 3,524,189.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.