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Finding the Third Proportional to 770,148 and 1,198,732.50

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Solution

The third proportional to 770,148 and 1,198,732.50 is: 1,865,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,148 : 1,198,732.50 = 1,198,732.50 : x
  2. Step 2: Convert to fraction form
    770,148/1,198,732.50 = 1,198,732.50/x
  3. Step 3: Cross multiply
    770,148x = 1,198,732.50 × 1,198,732.50
  4. Step 4: Simplify right side
    770,148x = 1,436,959,606,556.25
  5. Step 5: Solve for x
    x = 1,436,959,606,556.25/770,148
  6. Step 6: Final answer
    x = 1,865,822.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.