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Finding the Third Proportional to 842,144.50 and 1,294,456

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Solution

The third proportional to 842,144.50 and 1,294,456 is: 1,989,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,144.50 : 1,294,456 = 1,294,456 : x
  2. Step 2: Convert to fraction form
    842,144.50/1,294,456 = 1,294,456/x
  3. Step 3: Cross multiply
    842,144.50x = 1,294,456 × 1,294,456
  4. Step 4: Simplify right side
    842,144.50x = 1,675,616,335,936
  5. Step 5: Solve for x
    x = 1,675,616,335,936/842,144.50
  6. Step 6: Final answer
    x = 1,989,701.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.