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Finding the Third Proportional to 1,297,030 and 2,072,015

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Solution

The third proportional to 1,297,030 and 2,072,015 is: 3,310,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,030 : 2,072,015 = 2,072,015 : x
  2. Step 2: Convert to fraction form
    1,297,030/2,072,015 = 2,072,015/x
  3. Step 3: Cross multiply
    1,297,030x = 2,072,015 × 2,072,015
  4. Step 4: Simplify right side
    1,297,030x = 4,293,246,160,225
  5. Step 5: Solve for x
    x = 4,293,246,160,225/1,297,030
  6. Step 6: Final answer
    x = 3,310,059.26

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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.