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Finding the Third Proportional to 445,618 and 927,954

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Solution

The third proportional to 445,618 and 927,954 is: 1,932,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,618 : 927,954 = 927,954 : x
  2. Step 2: Convert to fraction form
    445,618/927,954 = 927,954/x
  3. Step 3: Cross multiply
    445,618x = 927,954 × 927,954
  4. Step 4: Simplify right side
    445,618x = 861,098,626,116
  5. Step 5: Solve for x
    x = 861,098,626,116/445,618
  6. Step 6: Final answer
    x = 1,932,369.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.