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Finding the Third Proportional to 3,686,268.75 and 5,529,403.75

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Solution

The third proportional to 3,686,268.75 and 5,529,403.75 is: 8,294,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,268.75 : 5,529,403.75 = 5,529,403.75 : x
  2. Step 2: Convert to fraction form
    3,686,268.75/5,529,403.75 = 5,529,403.75/x
  3. Step 3: Cross multiply
    3,686,268.75x = 5,529,403.75 × 5,529,403.75
  4. Step 4: Simplify right side
    3,686,268.75x = 30,574,305,830,514.06
  5. Step 5: Solve for x
    x = 30,574,305,830,514.06/3,686,268.75
  6. Step 6: Final answer
    x = 8,294,106.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.