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Finding the Third Proportional to 927,649 and 2,013,924

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Solution

The third proportional to 927,649 and 2,013,924 is: 4,372,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,649 : 2,013,924 = 2,013,924 : x
  2. Step 2: Convert to fraction form
    927,649/2,013,924 = 2,013,924/x
  3. Step 3: Cross multiply
    927,649x = 2,013,924 × 2,013,924
  4. Step 4: Simplify right side
    927,649x = 4,055,889,877,776
  5. Step 5: Solve for x
    x = 4,055,889,877,776/927,649
  6. Step 6: Final answer
    x = 4,372,224.71

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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.