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Finding the Third Proportional to 441,632 and 957,946

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Solution

The third proportional to 441,632 and 957,946 is: 2,077,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,632 : 957,946 = 957,946 : x
  2. Step 2: Convert to fraction form
    441,632/957,946 = 957,946/x
  3. Step 3: Cross multiply
    441,632x = 957,946 × 957,946
  4. Step 4: Simplify right side
    441,632x = 917,660,538,916
  5. Step 5: Solve for x
    x = 917,660,538,916/441,632
  6. Step 6: Final answer
    x = 2,077,885.07

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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.