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Finding the Third Proportional to 431,364 and 937,247

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Solution

The third proportional to 431,364 and 937,247 is: 2,036,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,364 : 937,247 = 937,247 : x
  2. Step 2: Convert to fraction form
    431,364/937,247 = 937,247/x
  3. Step 3: Cross multiply
    431,364x = 937,247 × 937,247
  4. Step 4: Simplify right side
    431,364x = 878,431,939,009
  5. Step 5: Solve for x
    x = 878,431,939,009/431,364
  6. Step 6: Final answer
    x = 2,036,405.31

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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.