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Finding the Third Proportional to 994,512.38 and 2,147,491.13

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Solution

The third proportional to 994,512.38 and 2,147,491.13 is: 4,637,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,512.38 : 2,147,491.13 = 2,147,491.13 : x
  2. Step 2: Convert to fraction form
    994,512.38/2,147,491.13 = 2,147,491.13/x
  3. Step 3: Cross multiply
    994,512.38x = 2,147,491.13 × 2,147,491.13
  4. Step 4: Simplify right side
    994,512.38x = 4,611,718,131,953.77
  5. Step 5: Solve for x
    x = 4,611,718,131,953.77/994,512.38
  6. Step 6: Final answer
    x = 4,637,165.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.