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Finding the Third Proportional to 681,605 and 1,069,313.25

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Solution

The third proportional to 681,605 and 1,069,313.25 is: 1,677,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,605 : 1,069,313.25 = 1,069,313.25 : x
  2. Step 2: Convert to fraction form
    681,605/1,069,313.25 = 1,069,313.25/x
  3. Step 3: Cross multiply
    681,605x = 1,069,313.25 × 1,069,313.25
  4. Step 4: Simplify right side
    681,605x = 1,143,430,826,625.56
  5. Step 5: Solve for x
    x = 1,143,430,826,625.56/681,605
  6. Step 6: Final answer
    x = 1,677,556.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.