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Finding the Third Proportional to 838,433 and 1,809,706

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Solution

The third proportional to 838,433 and 1,809,706 is: 3,906,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,433 : 1,809,706 = 1,809,706 : x
  2. Step 2: Convert to fraction form
    838,433/1,809,706 = 1,809,706/x
  3. Step 3: Cross multiply
    838,433x = 1,809,706 × 1,809,706
  4. Step 4: Simplify right side
    838,433x = 3,275,035,806,436
  5. Step 5: Solve for x
    x = 3,275,035,806,436/838,433
  6. Step 6: Final answer
    x = 3,906,138.96

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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.