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Finding the Third Proportional to 838,486 and 1,809,741

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Solution

The third proportional to 838,486 and 1,809,741 is: 3,906,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,486 : 1,809,741 = 1,809,741 : x
  2. Step 2: Convert to fraction form
    838,486/1,809,741 = 1,809,741/x
  3. Step 3: Cross multiply
    838,486x = 1,809,741 × 1,809,741
  4. Step 4: Simplify right side
    838,486x = 3,275,162,487,081
  5. Step 5: Solve for x
    x = 3,275,162,487,081/838,486
  6. Step 6: Final answer
    x = 3,906,043.14

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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.