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Finding the Third Proportional to 481,422 and 1,031,157

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Solution

The third proportional to 481,422 and 1,031,157 is: 2,208,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,422 : 1,031,157 = 1,031,157 : x
  2. Step 2: Convert to fraction form
    481,422/1,031,157 = 1,031,157/x
  3. Step 3: Cross multiply
    481,422x = 1,031,157 × 1,031,157
  4. Step 4: Simplify right side
    481,422x = 1,063,284,758,649
  5. Step 5: Solve for x
    x = 1,063,284,758,649/481,422
  6. Step 6: Final answer
    x = 2,208,633.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.