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Finding the Third Proportional to 431,369 and 937,257

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Solution

The third proportional to 431,369 and 937,257 is: 2,036,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,369 : 937,257 = 937,257 : x
  2. Step 2: Convert to fraction form
    431,369/937,257 = 937,257/x
  3. Step 3: Cross multiply
    431,369x = 937,257 × 937,257
  4. Step 4: Simplify right side
    431,369x = 878,450,684,049
  5. Step 5: Solve for x
    x = 878,450,684,049/431,369
  6. Step 6: Final answer
    x = 2,036,425.16

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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.