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Finding the Third Proportional to 431,363 and 937,245

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Solution

The third proportional to 431,363 and 937,245 is: 2,036,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,363 : 937,245 = 937,245 : x
  2. Step 2: Convert to fraction form
    431,363/937,245 = 937,245/x
  3. Step 3: Cross multiply
    431,363x = 937,245 × 937,245
  4. Step 4: Simplify right side
    431,363x = 878,428,190,025
  5. Step 5: Solve for x
    x = 878,428,190,025/431,363
  6. Step 6: Final answer
    x = 2,036,401.34

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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.