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Finding the Third Proportional to 490,833 and 1,026,135

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Solution

The third proportional to 490,833 and 1,026,135 is: 2,145,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,833 : 1,026,135 = 1,026,135 : x
  2. Step 2: Convert to fraction form
    490,833/1,026,135 = 1,026,135/x
  3. Step 3: Cross multiply
    490,833x = 1,026,135 × 1,026,135
  4. Step 4: Simplify right side
    490,833x = 1,052,953,038,225
  5. Step 5: Solve for x
    x = 1,052,953,038,225/490,833
  6. Step 6: Final answer
    x = 2,145,236.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.