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Finding the Third Proportional to 981,412 and 1,477,031

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Solution

The third proportional to 981,412 and 1,477,031 is: 2,222,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,412 : 1,477,031 = 1,477,031 : x
  2. Step 2: Convert to fraction form
    981,412/1,477,031 = 1,477,031/x
  3. Step 3: Cross multiply
    981,412x = 1,477,031 × 1,477,031
  4. Step 4: Simplify right side
    981,412x = 2,181,620,574,961
  5. Step 5: Solve for x
    x = 2,181,620,574,961/981,412
  6. Step 6: Final answer
    x = 2,222,940.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.