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Finding the Third Proportional to 2,091,993.89 and 3,232,664.02

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Solution

The third proportional to 2,091,993.89 and 3,232,664.02 is: 4,995,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,993.89 : 3,232,664.02 = 3,232,664.02 : x
  2. Step 2: Convert to fraction form
    2,091,993.89/3,232,664.02 = 3,232,664.02/x
  3. Step 3: Cross multiply
    2,091,993.89x = 3,232,664.02 × 3,232,664.02
  4. Step 4: Simplify right side
    2,091,993.89x = 10,450,116,637,916.75
  5. Step 5: Solve for x
    x = 10,450,116,637,916.75/2,091,993.89
  6. Step 6: Final answer
    x = 4,995,290.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.