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Finding the Third Proportional to 424,249 and 914,886

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Solution

The third proportional to 424,249 and 914,886 is: 1,972,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,249 : 914,886 = 914,886 : x
  2. Step 2: Convert to fraction form
    424,249/914,886 = 914,886/x
  3. Step 3: Cross multiply
    424,249x = 914,886 × 914,886
  4. Step 4: Simplify right side
    424,249x = 837,016,392,996
  5. Step 5: Solve for x
    x = 837,016,392,996/424,249
  6. Step 6: Final answer
    x = 1,972,936.63

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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.