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Finding the Third Proportional to 431,365 and 937,249

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Solution

The third proportional to 431,365 and 937,249 is: 2,036,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,365 : 937,249 = 937,249 : x
  2. Step 2: Convert to fraction form
    431,365/937,249 = 937,249/x
  3. Step 3: Cross multiply
    431,365x = 937,249 × 937,249
  4. Step 4: Simplify right side
    431,365x = 878,435,688,001
  5. Step 5: Solve for x
    x = 878,435,688,001/431,365
  6. Step 6: Final answer
    x = 2,036,409.28

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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.