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Finding the Third Proportional to 2,049,003 and 3,007,072.50

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Solution

The third proportional to 2,049,003 and 3,007,072.50 is: 4,413,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,003 : 3,007,072.50 = 3,007,072.50 : x
  2. Step 2: Convert to fraction form
    2,049,003/3,007,072.50 = 3,007,072.50/x
  3. Step 3: Cross multiply
    2,049,003x = 3,007,072.50 × 3,007,072.50
  4. Step 4: Simplify right side
    2,049,003x = 9,042,485,020,256.25
  5. Step 5: Solve for x
    x = 9,042,485,020,256.25/2,049,003
  6. Step 6: Final answer
    x = 4,413,114.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.