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Finding the Third Proportional to 1,297,072 and 2,072,083

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Solution

The third proportional to 1,297,072 and 2,072,083 is: 3,310,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,072 : 2,072,083 = 2,072,083 : x
  2. Step 2: Convert to fraction form
    1,297,072/2,072,083 = 2,072,083/x
  3. Step 3: Cross multiply
    1,297,072x = 2,072,083 × 2,072,083
  4. Step 4: Simplify right side
    1,297,072x = 4,293,527,958,889
  5. Step 5: Solve for x
    x = 4,293,527,958,889/1,297,072
  6. Step 6: Final answer
    x = 3,310,169.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.