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Finding the Third Proportional to 1,294,408 and 2,026,100

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Solution

The third proportional to 1,294,408 and 2,026,100 is: 3,171,396.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,408 : 2,026,100 = 2,026,100 : x
  2. Step 2: Convert to fraction form
    1,294,408/2,026,100 = 2,026,100/x
  3. Step 3: Cross multiply
    1,294,408x = 2,026,100 × 2,026,100
  4. Step 4: Simplify right side
    1,294,408x = 4,105,081,210,000
  5. Step 5: Solve for x
    x = 4,105,081,210,000/1,294,408
  6. Step 6: Final answer
    x = 3,171,396.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.