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Finding the Third Proportional to 440,938 and 957,044

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Solution

The third proportional to 440,938 and 957,044 is: 2,077,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,938 : 957,044 = 957,044 : x
  2. Step 2: Convert to fraction form
    440,938/957,044 = 957,044/x
  3. Step 3: Cross multiply
    440,938x = 957,044 × 957,044
  4. Step 4: Simplify right side
    440,938x = 915,933,217,936
  5. Step 5: Solve for x
    x = 915,933,217,936/440,938
  6. Step 6: Final answer
    x = 2,077,238.11

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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.