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Finding the Third Proportional to 960,974.72 and 1,351,731.94

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Solution

The third proportional to 960,974.72 and 1,351,731.94 is: 1,901,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,974.72 : 1,351,731.94 = 1,351,731.94 : x
  2. Step 2: Convert to fraction form
    960,974.72/1,351,731.94 = 1,351,731.94/x
  3. Step 3: Cross multiply
    960,974.72x = 1,351,731.94 × 1,351,731.94
  4. Step 4: Simplify right side
    960,974.72x = 1,827,179,230,857.50
  5. Step 5: Solve for x
    x = 1,827,179,230,857.50/960,974.72
  6. Step 6: Final answer
    x = 1,901,381.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.