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Finding the Third Proportional to 671,769 and 1,040,107.50

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Solution

The third proportional to 671,769 and 1,040,107.50 is: 1,610,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,769 : 1,040,107.50 = 1,040,107.50 : x
  2. Step 2: Convert to fraction form
    671,769/1,040,107.50 = 1,040,107.50/x
  3. Step 3: Cross multiply
    671,769x = 1,040,107.50 × 1,040,107.50
  4. Step 4: Simplify right side
    671,769x = 1,081,823,611,556.25
  5. Step 5: Solve for x
    x = 1,081,823,611,556.25/671,769
  6. Step 6: Final answer
    x = 1,610,410.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.