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Finding the Third Proportional to 524,109.75 and 1,122,897

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Solution

The third proportional to 524,109.75 and 1,122,897 is: 2,405,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,109.75 : 1,122,897 = 1,122,897 : x
  2. Step 2: Convert to fraction form
    524,109.75/1,122,897 = 1,122,897/x
  3. Step 3: Cross multiply
    524,109.75x = 1,122,897 × 1,122,897
  4. Step 4: Simplify right side
    524,109.75x = 1,260,897,672,609
  5. Step 5: Solve for x
    x = 1,260,897,672,609/524,109.75
  6. Step 6: Final answer
    x = 2,405,789.38

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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.