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Finding the Third Proportional to 431,485 and 938,723

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Solution

The third proportional to 431,485 and 938,723 is: 2,042,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,485 : 938,723 = 938,723 : x
  2. Step 2: Convert to fraction form
    431,485/938,723 = 938,723/x
  3. Step 3: Cross multiply
    431,485x = 938,723 × 938,723
  4. Step 4: Simplify right side
    431,485x = 881,200,870,729
  5. Step 5: Solve for x
    x = 881,200,870,729/431,485
  6. Step 6: Final answer
    x = 2,042,251.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.