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Finding the Third Proportional to 1,942,500 and 3,962,076

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Solution

The third proportional to 1,942,500 and 3,962,076 is: 8,081,362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,500 : 3,962,076 = 3,962,076 : x
  2. Step 2: Convert to fraction form
    1,942,500/3,962,076 = 3,962,076/x
  3. Step 3: Cross multiply
    1,942,500x = 3,962,076 × 3,962,076
  4. Step 4: Simplify right side
    1,942,500x = 15,698,046,229,776
  5. Step 5: Solve for x
    x = 15,698,046,229,776/1,942,500
  6. Step 6: Final answer
    x = 8,081,362.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.