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Finding the Third Proportional to 2,142,218 and 3,131,231

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Solution

The third proportional to 2,142,218 and 3,131,231 is: 4,576,848.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142,218 : 3,131,231 = 3,131,231 : x
  2. Step 2: Convert to fraction form
    2,142,218/3,131,231 = 3,131,231/x
  3. Step 3: Cross multiply
    2,142,218x = 3,131,231 × 3,131,231
  4. Step 4: Simplify right side
    2,142,218x = 9,804,607,575,361
  5. Step 5: Solve for x
    x = 9,804,607,575,361/2,142,218
  6. Step 6: Final answer
    x = 4,576,848.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.