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Finding the Third Proportional to 1,192,947.75 and 1,806,796.13

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Solution

The third proportional to 1,192,947.75 and 1,806,796.13 is: 2,736,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,947.75 : 1,806,796.13 = 1,806,796.13 : x
  2. Step 2: Convert to fraction form
    1,192,947.75/1,806,796.13 = 1,806,796.13/x
  3. Step 3: Cross multiply
    1,192,947.75x = 1,806,796.13 × 1,806,796.13
  4. Step 4: Simplify right side
    1,192,947.75x = 3,264,512,237,315.02
  5. Step 5: Solve for x
    x = 3,264,512,237,315.02/1,192,947.75
  6. Step 6: Final answer
    x = 2,736,508.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.