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Finding the Third Proportional to 468,230 and 1,027,598

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Solution

The third proportional to 468,230 and 1,027,598 is: 2,255,211.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,230 : 1,027,598 = 1,027,598 : x
  2. Step 2: Convert to fraction form
    468,230/1,027,598 = 1,027,598/x
  3. Step 3: Cross multiply
    468,230x = 1,027,598 × 1,027,598
  4. Step 4: Simplify right side
    468,230x = 1,055,957,649,604
  5. Step 5: Solve for x
    x = 1,055,957,649,604/468,230
  6. Step 6: Final answer
    x = 2,255,211.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.