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Finding the Third Proportional to 767,968 and 1,653,672

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Solution

The third proportional to 767,968 and 1,653,672 is: 3,560,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,968 : 1,653,672 = 1,653,672 : x
  2. Step 2: Convert to fraction form
    767,968/1,653,672 = 1,653,672/x
  3. Step 3: Cross multiply
    767,968x = 1,653,672 × 1,653,672
  4. Step 4: Simplify right side
    767,968x = 2,734,631,083,584
  5. Step 5: Solve for x
    x = 2,734,631,083,584/767,968
  6. Step 6: Final answer
    x = 3,560,865.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.