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Finding the Third Proportional to 777,148 and 1,672,394

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Solution

The third proportional to 777,148 and 1,672,394 is: 3,598,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,148 : 1,672,394 = 1,672,394 : x
  2. Step 2: Convert to fraction form
    777,148/1,672,394 = 1,672,394/x
  3. Step 3: Cross multiply
    777,148x = 1,672,394 × 1,672,394
  4. Step 4: Simplify right side
    777,148x = 2,796,901,691,236
  5. Step 5: Solve for x
    x = 2,796,901,691,236/777,148
  6. Step 6: Final answer
    x = 3,598,930.57

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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.