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Finding the Third Proportional to 981,984 and 2,151,408

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Solution

The third proportional to 981,984 and 2,151,408 is: 4,713,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,984 : 2,151,408 = 2,151,408 : x
  2. Step 2: Convert to fraction form
    981,984/2,151,408 = 2,151,408/x
  3. Step 3: Cross multiply
    981,984x = 2,151,408 × 2,151,408
  4. Step 4: Simplify right side
    981,984x = 4,628,556,382,464
  5. Step 5: Solve for x
    x = 4,628,556,382,464/981,984
  6. Step 6: Final answer
    x = 4,713,474.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.