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Finding the Third Proportional to 1,294,742 and 1,960,107

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Solution

The third proportional to 1,294,742 and 1,960,107 is: 2,967,401.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,742 : 1,960,107 = 1,960,107 : x
  2. Step 2: Convert to fraction form
    1,294,742/1,960,107 = 1,960,107/x
  3. Step 3: Cross multiply
    1,294,742x = 1,960,107 × 1,960,107
  4. Step 4: Simplify right side
    1,294,742x = 3,842,019,451,449
  5. Step 5: Solve for x
    x = 3,842,019,451,449/1,294,742
  6. Step 6: Final answer
    x = 2,967,401.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.