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Finding the Third Proportional to 1,294,727 and 1,960,085

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Solution

The third proportional to 1,294,727 and 1,960,085 is: 2,967,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,727 : 1,960,085 = 1,960,085 : x
  2. Step 2: Convert to fraction form
    1,294,727/1,960,085 = 1,960,085/x
  3. Step 3: Cross multiply
    1,294,727x = 1,960,085 × 1,960,085
  4. Step 4: Simplify right side
    1,294,727x = 3,841,933,207,225
  5. Step 5: Solve for x
    x = 3,841,933,207,225/1,294,727
  6. Step 6: Final answer
    x = 2,967,369.34

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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.