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Finding the Third Proportional to 493,533 and 1,077,401.25

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Solution

The third proportional to 493,533 and 1,077,401.25 is: 2,352,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,533 : 1,077,401.25 = 1,077,401.25 : x
  2. Step 2: Convert to fraction form
    493,533/1,077,401.25 = 1,077,401.25/x
  3. Step 3: Cross multiply
    493,533x = 1,077,401.25 × 1,077,401.25
  4. Step 4: Simplify right side
    493,533x = 1,160,793,453,501.56
  5. Step 5: Solve for x
    x = 1,160,793,453,501.56/493,533
  6. Step 6: Final answer
    x = 2,352,007.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.