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Finding the Third Proportional to 1,921,414 and 4,127,744

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Solution

The third proportional to 1,921,414 and 4,127,744 is: 8,867,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921,414 : 4,127,744 = 4,127,744 : x
  2. Step 2: Convert to fraction form
    1,921,414/4,127,744 = 4,127,744/x
  3. Step 3: Cross multiply
    1,921,414x = 4,127,744 × 4,127,744
  4. Step 4: Simplify right side
    1,921,414x = 17,038,270,529,536
  5. Step 5: Solve for x
    x = 17,038,270,529,536/1,921,414
  6. Step 6: Final answer
    x = 8,867,568.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.