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Finding the Third Proportional to 490,230 and 1,055,534

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Solution

The third proportional to 490,230 and 1,055,534 is: 2,272,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,230 : 1,055,534 = 1,055,534 : x
  2. Step 2: Convert to fraction form
    490,230/1,055,534 = 1,055,534/x
  3. Step 3: Cross multiply
    490,230x = 1,055,534 × 1,055,534
  4. Step 4: Simplify right side
    490,230x = 1,114,152,025,156
  5. Step 5: Solve for x
    x = 1,114,152,025,156/490,230
  6. Step 6: Final answer
    x = 2,272,712.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.