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Finding the Third Proportional to 619,260.19 and 926,007.19

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Solution

The third proportional to 619,260.19 and 926,007.19 is: 1,384,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,260.19 : 926,007.19 = 926,007.19 : x
  2. Step 2: Convert to fraction form
    619,260.19/926,007.19 = 926,007.19/x
  3. Step 3: Cross multiply
    619,260.19x = 926,007.19 × 926,007.19
  4. Step 4: Simplify right side
    619,260.19x = 857,489,311,301.66
  5. Step 5: Solve for x
    x = 857,489,311,301.66/619,260.19
  6. Step 6: Final answer
    x = 1,384,699.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.