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Finding the Third Proportional to 838,491 and 1,809,762

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Solution

The third proportional to 838,491 and 1,809,762 is: 3,906,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,491 : 1,809,762 = 1,809,762 : x
  2. Step 2: Convert to fraction form
    838,491/1,809,762 = 1,809,762/x
  3. Step 3: Cross multiply
    838,491x = 1,809,762 × 1,809,762
  4. Step 4: Simplify right side
    838,491x = 3,275,238,496,644
  5. Step 5: Solve for x
    x = 3,275,238,496,644/838,491
  6. Step 6: Final answer
    x = 3,906,110.50

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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.