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Finding the Third Proportional to 764,130 and 1,641,004

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Solution

The third proportional to 764,130 and 1,641,004 is: 3,524,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,130 : 1,641,004 = 1,641,004 : x
  2. Step 2: Convert to fraction form
    764,130/1,641,004 = 1,641,004/x
  3. Step 3: Cross multiply
    764,130x = 1,641,004 × 1,641,004
  4. Step 4: Simplify right side
    764,130x = 2,692,894,128,016
  5. Step 5: Solve for x
    x = 2,692,894,128,016/764,130
  6. Step 6: Final answer
    x = 3,524,130.88

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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.