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Finding the Third Proportional to 2,141,327 and 4,635,485

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Solution

The third proportional to 2,141,327 and 4,635,485 is: 10,034,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,327 : 4,635,485 = 4,635,485 : x
  2. Step 2: Convert to fraction form
    2,141,327/4,635,485 = 4,635,485/x
  3. Step 3: Cross multiply
    2,141,327x = 4,635,485 × 4,635,485
  4. Step 4: Simplify right side
    2,141,327x = 21,487,721,185,225
  5. Step 5: Solve for x
    x = 21,487,721,185,225/2,141,327
  6. Step 6: Final answer
    x = 10,034,768.71

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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.