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Finding the Third Proportional to 599,853.09 and 919,823.34

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Solution

The third proportional to 599,853.09 and 919,823.34 is: 1,410,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,853.09 : 919,823.34 = 919,823.34 : x
  2. Step 2: Convert to fraction form
    599,853.09/919,823.34 = 919,823.34/x
  3. Step 3: Cross multiply
    599,853.09x = 919,823.34 × 919,823.34
  4. Step 4: Simplify right side
    599,853.09x = 846,074,983,707.43
  5. Step 5: Solve for x
    x = 846,074,983,707.43/599,853.09
  6. Step 6: Final answer
    x = 1,410,470.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.