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Finding the Third Proportional to 770,205 and 1,675,806

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Solution

The third proportional to 770,205 and 1,675,806 is: 3,646,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,205 : 1,675,806 = 1,675,806 : x
  2. Step 2: Convert to fraction form
    770,205/1,675,806 = 1,675,806/x
  3. Step 3: Cross multiply
    770,205x = 1,675,806 × 1,675,806
  4. Step 4: Simplify right side
    770,205x = 2,808,325,749,636
  5. Step 5: Solve for x
    x = 2,808,325,749,636/770,205
  6. Step 6: Final answer
    x = 3,646,205.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.