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Finding the Third Proportional to 619,712 and 1,313,830

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Solution

The third proportional to 619,712 and 1,313,830 is: 2,785,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,712 : 1,313,830 = 1,313,830 : x
  2. Step 2: Convert to fraction form
    619,712/1,313,830 = 1,313,830/x
  3. Step 3: Cross multiply
    619,712x = 1,313,830 × 1,313,830
  4. Step 4: Simplify right side
    619,712x = 1,726,149,268,900
  5. Step 5: Solve for x
    x = 1,726,149,268,900/619,712
  6. Step 6: Final answer
    x = 2,785,405.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.