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Finding the Third Proportional to 1,833,617.25 and 2,694,232.13

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Solution

The third proportional to 1,833,617.25 and 2,694,232.13 is: 3,958,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,617.25 : 2,694,232.13 = 2,694,232.13 : x
  2. Step 2: Convert to fraction form
    1,833,617.25/2,694,232.13 = 2,694,232.13/x
  3. Step 3: Cross multiply
    1,833,617.25x = 2,694,232.13 × 2,694,232.13
  4. Step 4: Simplify right side
    1,833,617.25x = 7,258,886,743,382.02
  5. Step 5: Solve for x
    x = 7,258,886,743,382.02/1,833,617.25
  6. Step 6: Final answer
    x = 3,958,779.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.