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Finding the Third Proportional to 501,417 and 1,102,050

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Solution

The third proportional to 501,417 and 1,102,050 is: 2,422,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,417 : 1,102,050 = 1,102,050 : x
  2. Step 2: Convert to fraction form
    501,417/1,102,050 = 1,102,050/x
  3. Step 3: Cross multiply
    501,417x = 1,102,050 × 1,102,050
  4. Step 4: Simplify right side
    501,417x = 1,214,514,202,500
  5. Step 5: Solve for x
    x = 1,214,514,202,500/501,417
  6. Step 6: Final answer
    x = 2,422,163.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.