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Finding the Third Proportional to 770,851 and 1,695,476

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Solution

The third proportional to 770,851 and 1,695,476 is: 3,729,175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,851 : 1,695,476 = 1,695,476 : x
  2. Step 2: Convert to fraction form
    770,851/1,695,476 = 1,695,476/x
  3. Step 3: Cross multiply
    770,851x = 1,695,476 × 1,695,476
  4. Step 4: Simplify right side
    770,851x = 2,874,638,866,576
  5. Step 5: Solve for x
    x = 2,874,638,866,576/770,851
  6. Step 6: Final answer
    x = 3,729,175.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.