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Finding the Third Proportional to 467,920.13 and 957,963.38

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Solution

The third proportional to 467,920.13 and 957,963.38 is: 1,961,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,920.13 : 957,963.38 = 957,963.38 : x
  2. Step 2: Convert to fraction form
    467,920.13/957,963.38 = 957,963.38/x
  3. Step 3: Cross multiply
    467,920.13x = 957,963.38 × 957,963.38
  4. Step 4: Simplify right side
    467,920.13x = 917,693,827,841.39
  5. Step 5: Solve for x
    x = 917,693,827,841.39/467,920.13
  6. Step 6: Final answer
    x = 1,961,218.97

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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.