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Finding the Third Proportional to 749,571.75 and 1,151,434.13

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Solution

The third proportional to 749,571.75 and 1,151,434.13 is: 1,768,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,571.75 : 1,151,434.13 = 1,151,434.13 : x
  2. Step 2: Convert to fraction form
    749,571.75/1,151,434.13 = 1,151,434.13/x
  3. Step 3: Cross multiply
    749,571.75x = 1,151,434.13 × 1,151,434.13
  4. Step 4: Simplify right side
    749,571.75x = 1,325,800,544,214.52
  5. Step 5: Solve for x
    x = 1,325,800,544,214.52/749,571.75
  6. Step 6: Final answer
    x = 1,768,744.01

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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.