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Finding the Third Proportional to 1,573,975.50 and 2,351,214

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Solution

The third proportional to 1,573,975.50 and 2,351,214 is: 3,512,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,975.50 : 2,351,214 = 2,351,214 : x
  2. Step 2: Convert to fraction form
    1,573,975.50/2,351,214 = 2,351,214/x
  3. Step 3: Cross multiply
    1,573,975.50x = 2,351,214 × 2,351,214
  4. Step 4: Simplify right side
    1,573,975.50x = 5,528,207,273,796
  5. Step 5: Solve for x
    x = 5,528,207,273,796/1,573,975.50
  6. Step 6: Final answer
    x = 3,512,257.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.