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Finding the Third Proportional to 431,362 and 937,243

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Solution

The third proportional to 431,362 and 937,243 is: 2,036,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,362 : 937,243 = 937,243 : x
  2. Step 2: Convert to fraction form
    431,362/937,243 = 937,243/x
  3. Step 3: Cross multiply
    431,362x = 937,243 × 937,243
  4. Step 4: Simplify right side
    431,362x = 878,424,441,049
  5. Step 5: Solve for x
    x = 878,424,441,049/431,362
  6. Step 6: Final answer
    x = 2,036,397.37

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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.