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Finding the Third Proportional to 487,914.75 and 1,173,984.75

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Solution

The third proportional to 487,914.75 and 1,173,984.75 is: 2,824,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,914.75 : 1,173,984.75 = 1,173,984.75 : x
  2. Step 2: Convert to fraction form
    487,914.75/1,173,984.75 = 1,173,984.75/x
  3. Step 3: Cross multiply
    487,914.75x = 1,173,984.75 × 1,173,984.75
  4. Step 4: Simplify right side
    487,914.75x = 1,378,240,193,232.56
  5. Step 5: Solve for x
    x = 1,378,240,193,232.56/487,914.75
  6. Step 6: Final answer
    x = 2,824,756.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.