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Finding the Third Proportional to 2,181,222 and 4,642,380

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Solution

The third proportional to 2,181,222 and 4,642,380 is: 9,880,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,222 : 4,642,380 = 4,642,380 : x
  2. Step 2: Convert to fraction form
    2,181,222/4,642,380 = 4,642,380/x
  3. Step 3: Cross multiply
    2,181,222x = 4,642,380 × 4,642,380
  4. Step 4: Simplify right side
    2,181,222x = 21,551,692,064,400
  5. Step 5: Solve for x
    x = 21,551,692,064,400/2,181,222
  6. Step 6: Final answer
    x = 9,880,558.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.