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Finding the Third Proportional to 619,453.50 and 1,272,256.50

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Solution

The third proportional to 619,453.50 and 1,272,256.50 is: 2,613,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,453.50 : 1,272,256.50 = 1,272,256.50 : x
  2. Step 2: Convert to fraction form
    619,453.50/1,272,256.50 = 1,272,256.50/x
  3. Step 3: Cross multiply
    619,453.50x = 1,272,256.50 × 1,272,256.50
  4. Step 4: Simplify right side
    619,453.50x = 1,618,636,601,792.25
  5. Step 5: Solve for x
    x = 1,618,636,601,792.25/619,453.50
  6. Step 6: Final answer
    x = 2,613,007.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.