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Finding the Third Proportional to 475,769 and 1,025,809

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Solution

The third proportional to 475,769 and 1,025,809 is: 2,211,754.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,769 : 1,025,809 = 1,025,809 : x
  2. Step 2: Convert to fraction form
    475,769/1,025,809 = 1,025,809/x
  3. Step 3: Cross multiply
    475,769x = 1,025,809 × 1,025,809
  4. Step 4: Simplify right side
    475,769x = 1,052,284,104,481
  5. Step 5: Solve for x
    x = 1,052,284,104,481/475,769
  6. Step 6: Final answer
    x = 2,211,754.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.