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Finding the Third Proportional to 903,824 and 1,947,744

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Solution

The third proportional to 903,824 and 1,947,744 is: 4,197,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,824 : 1,947,744 = 1,947,744 : x
  2. Step 2: Convert to fraction form
    903,824/1,947,744 = 1,947,744/x
  3. Step 3: Cross multiply
    903,824x = 1,947,744 × 1,947,744
  4. Step 4: Simplify right side
    903,824x = 3,793,706,689,536
  5. Step 5: Solve for x
    x = 3,793,706,689,536/903,824
  6. Step 6: Final answer
    x = 4,197,395.39

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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.