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Finding the Third Proportional to 492,353.58 and 1,068,736.22

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Solution

The third proportional to 492,353.58 and 1,068,736.22 is: 2,319,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,353.58 : 1,068,736.22 = 1,068,736.22 : x
  2. Step 2: Convert to fraction form
    492,353.58/1,068,736.22 = 1,068,736.22/x
  3. Step 3: Cross multiply
    492,353.58x = 1,068,736.22 × 1,068,736.22
  4. Step 4: Simplify right side
    492,353.58x = 1,142,197,105,268.05
  5. Step 5: Solve for x
    x = 1,142,197,105,268.05/492,353.58
  6. Step 6: Final answer
    x = 2,319,871.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.