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Finding the Third Proportional to 1,297,012 and 2,072,010

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Solution

The third proportional to 1,297,012 and 2,072,010 is: 3,310,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,012 : 2,072,010 = 2,072,010 : x
  2. Step 2: Convert to fraction form
    1,297,012/2,072,010 = 2,072,010/x
  3. Step 3: Cross multiply
    1,297,012x = 2,072,010 × 2,072,010
  4. Step 4: Simplify right side
    1,297,012x = 4,293,225,440,100
  5. Step 5: Solve for x
    x = 4,293,225,440,100/1,297,012
  6. Step 6: Final answer
    x = 3,310,089.22

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