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Finding the Third Proportional to 609,670 and 1,340,004

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Solution

The third proportional to 609,670 and 1,340,004 is: 2,945,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,670 : 1,340,004 = 1,340,004 : x
  2. Step 2: Convert to fraction form
    609,670/1,340,004 = 1,340,004/x
  3. Step 3: Cross multiply
    609,670x = 1,340,004 × 1,340,004
  4. Step 4: Simplify right side
    609,670x = 1,795,610,720,016
  5. Step 5: Solve for x
    x = 1,795,610,720,016/609,670
  6. Step 6: Final answer
    x = 2,945,217.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.