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Finding the Third Proportional to 838,536 and 1,809,852

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Solution

The third proportional to 838,536 and 1,809,852 is: 3,906,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,536 : 1,809,852 = 1,809,852 : x
  2. Step 2: Convert to fraction form
    838,536/1,809,852 = 1,809,852/x
  3. Step 3: Cross multiply
    838,536x = 1,809,852 × 1,809,852
  4. Step 4: Simplify right side
    838,536x = 3,275,564,261,904
  5. Step 5: Solve for x
    x = 3,275,564,261,904/838,536
  6. Step 6: Final answer
    x = 3,906,289.37

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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.