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Finding the Third Proportional to 770,202 and 1,675,800

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Solution

The third proportional to 770,202 and 1,675,800 is: 3,646,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,202 : 1,675,800 = 1,675,800 : x
  2. Step 2: Convert to fraction form
    770,202/1,675,800 = 1,675,800/x
  3. Step 3: Cross multiply
    770,202x = 1,675,800 × 1,675,800
  4. Step 4: Simplify right side
    770,202x = 2,808,305,640,000
  5. Step 5: Solve for x
    x = 2,808,305,640,000/770,202
  6. Step 6: Final answer
    x = 3,646,193.65

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