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Finding the Third Proportional to 838,494 and 1,809,758

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Solution

The third proportional to 838,494 and 1,809,758 is: 3,906,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,494 : 1,809,758 = 1,809,758 : x
  2. Step 2: Convert to fraction form
    838,494/1,809,758 = 1,809,758/x
  3. Step 3: Cross multiply
    838,494x = 1,809,758 × 1,809,758
  4. Step 4: Simplify right side
    838,494x = 3,275,224,018,564
  5. Step 5: Solve for x
    x = 3,275,224,018,564/838,494
  6. Step 6: Final answer
    x = 3,906,079.25

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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.