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Finding the Third Proportional to 493,477 and 1,025,721.50

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Solution

The third proportional to 493,477 and 1,025,721.50 is: 2,132,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,477 : 1,025,721.50 = 1,025,721.50 : x
  2. Step 2: Convert to fraction form
    493,477/1,025,721.50 = 1,025,721.50/x
  3. Step 3: Cross multiply
    493,477x = 1,025,721.50 × 1,025,721.50
  4. Step 4: Simplify right side
    493,477x = 1,052,104,595,562.25
  5. Step 5: Solve for x
    x = 1,052,104,595,562.25/493,477
  6. Step 6: Final answer
    x = 2,132,023.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.