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Finding the Third Proportional to 943,683.75 and 2,053,255.50

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Solution

The third proportional to 943,683.75 and 2,053,255.50 is: 4,467,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,683.75 : 2,053,255.50 = 2,053,255.50 : x
  2. Step 2: Convert to fraction form
    943,683.75/2,053,255.50 = 2,053,255.50/x
  3. Step 3: Cross multiply
    943,683.75x = 2,053,255.50 × 2,053,255.50
  4. Step 4: Simplify right side
    943,683.75x = 4,215,858,148,280.25
  5. Step 5: Solve for x
    x = 4,215,858,148,280.25/943,683.75
  6. Step 6: Final answer
    x = 4,467,448.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.