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Finding the Third Proportional to 934,625 and 2,042,221

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Solution

The third proportional to 934,625 and 2,042,221 is: 4,462,395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,625 : 2,042,221 = 2,042,221 : x
  2. Step 2: Convert to fraction form
    934,625/2,042,221 = 2,042,221/x
  3. Step 3: Cross multiply
    934,625x = 2,042,221 × 2,042,221
  4. Step 4: Simplify right side
    934,625x = 4,170,666,612,841
  5. Step 5: Solve for x
    x = 4,170,666,612,841/934,625
  6. Step 6: Final answer
    x = 4,462,395.73

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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.