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Finding the Third Proportional to 1,269,892.69 and 1,967,122.97

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Solution

The third proportional to 1,269,892.69 and 1,967,122.97 is: 3,047,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,892.69 : 1,967,122.97 = 1,967,122.97 : x
  2. Step 2: Convert to fraction form
    1,269,892.69/1,967,122.97 = 1,967,122.97/x
  3. Step 3: Cross multiply
    1,269,892.69x = 1,967,122.97 × 1,967,122.97
  4. Step 4: Simplify right side
    1,269,892.69x = 3,869,572,774,183.81
  5. Step 5: Solve for x
    x = 3,869,572,774,183.81/1,269,892.69
  6. Step 6: Final answer
    x = 3,047,165.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.