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Finding the Third Proportional to 1,932,400 and 4,197,772

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Solution

The third proportional to 1,932,400 and 4,197,772 is: 9,118,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,400 : 4,197,772 = 4,197,772 : x
  2. Step 2: Convert to fraction form
    1,932,400/4,197,772 = 4,197,772/x
  3. Step 3: Cross multiply
    1,932,400x = 4,197,772 × 4,197,772
  4. Step 4: Simplify right side
    1,932,400x = 17,621,289,763,984
  5. Step 5: Solve for x
    x = 17,621,289,763,984/1,932,400
  6. Step 6: Final answer
    x = 9,118,862.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.