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Finding the Third Proportional to 777,129.19 and 1,198,916.44

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Solution

The third proportional to 777,129.19 and 1,198,916.44 is: 1,849,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,129.19 : 1,198,916.44 = 1,198,916.44 : x
  2. Step 2: Convert to fraction form
    777,129.19/1,198,916.44 = 1,198,916.44/x
  3. Step 3: Cross multiply
    777,129.19x = 1,198,916.44 × 1,198,916.44
  4. Step 4: Simplify right side
    777,129.19x = 1,437,400,624,107.69
  5. Step 5: Solve for x
    x = 1,437,400,624,107.69/777,129.19
  6. Step 6: Final answer
    x = 1,849,628.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.