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Finding the Third Proportional to 1,961,123.91 and 4,247,974.13

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Solution

The third proportional to 1,961,123.91 and 4,247,974.13 is: 9,201,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,123.91 : 4,247,974.13 = 4,247,974.13 : x
  2. Step 2: Convert to fraction form
    1,961,123.91/4,247,974.13 = 4,247,974.13/x
  3. Step 3: Cross multiply
    1,961,123.91x = 4,247,974.13 × 4,247,974.13
  4. Step 4: Simplify right side
    1,961,123.91x = 18,045,284,166,669.52
  5. Step 5: Solve for x
    x = 18,045,284,166,669.52/1,961,123.91
  6. Step 6: Final answer
    x = 9,201,501.30

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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.