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Finding the Third Proportional to 906,033.09 and 1,269,963.56

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Solution

The third proportional to 906,033.09 and 1,269,963.56 is: 1,780,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,033.09 : 1,269,963.56 = 1,269,963.56 : x
  2. Step 2: Convert to fraction form
    906,033.09/1,269,963.56 = 1,269,963.56/x
  3. Step 3: Cross multiply
    906,033.09x = 1,269,963.56 × 1,269,963.56
  4. Step 4: Simplify right side
    906,033.09x = 1,612,807,450,077.69
  5. Step 5: Solve for x
    x = 1,612,807,450,077.69/906,033.09
  6. Step 6: Final answer
    x = 1,780,075.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.