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Finding the Third Proportional to 1,262,916 and 1,925,892.75

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Solution

The third proportional to 1,262,916 and 1,925,892.75 is: 2,936,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,916 : 1,925,892.75 = 1,925,892.75 : x
  2. Step 2: Convert to fraction form
    1,262,916/1,925,892.75 = 1,925,892.75/x
  3. Step 3: Cross multiply
    1,262,916x = 1,925,892.75 × 1,925,892.75
  4. Step 4: Simplify right side
    1,262,916x = 3,709,062,884,502.56
  5. Step 5: Solve for x
    x = 3,709,062,884,502.56/1,262,916
  6. Step 6: Final answer
    x = 2,936,903.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.