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Finding the Third Proportional to 467,918 and 957,961

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Solution

The third proportional to 467,918 and 957,961 is: 1,961,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,918 : 957,961 = 957,961 : x
  2. Step 2: Convert to fraction form
    467,918/957,961 = 957,961/x
  3. Step 3: Cross multiply
    467,918x = 957,961 × 957,961
  4. Step 4: Simplify right side
    467,918x = 917,689,277,521
  5. Step 5: Solve for x
    x = 917,689,277,521/467,918
  6. Step 6: Final answer
    x = 1,961,218.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.