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Finding the Third Proportional to 491,031 and 1,059,525

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Solution

The third proportional to 491,031 and 1,059,525 is: 2,286,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,031 : 1,059,525 = 1,059,525 : x
  2. Step 2: Convert to fraction form
    491,031/1,059,525 = 1,059,525/x
  3. Step 3: Cross multiply
    491,031x = 1,059,525 × 1,059,525
  4. Step 4: Simplify right side
    491,031x = 1,122,593,225,625
  5. Step 5: Solve for x
    x = 1,122,593,225,625/491,031
  6. Step 6: Final answer
    x = 2,286,196.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.