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Finding the Third Proportional to 2,104,002 and 4,601,664

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Solution

The third proportional to 2,104,002 and 4,601,664 is: 10,064,302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,002 : 4,601,664 = 4,601,664 : x
  2. Step 2: Convert to fraction form
    2,104,002/4,601,664 = 4,601,664/x
  3. Step 3: Cross multiply
    2,104,002x = 4,601,664 × 4,601,664
  4. Step 4: Simplify right side
    2,104,002x = 21,175,311,568,896
  5. Step 5: Solve for x
    x = 21,175,311,568,896/2,104,002
  6. Step 6: Final answer
    x = 10,064,302.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.