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Finding the Third Proportional to 1,247,972.72 and 1,783,385.53

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Solution

The third proportional to 1,247,972.72 and 1,783,385.53 is: 2,548,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,972.72 : 1,783,385.53 = 1,783,385.53 : x
  2. Step 2: Convert to fraction form
    1,247,972.72/1,783,385.53 = 1,783,385.53/x
  3. Step 3: Cross multiply
    1,247,972.72x = 1,783,385.53 × 1,783,385.53
  4. Step 4: Simplify right side
    1,247,972.72x = 3,180,463,953,071.85
  5. Step 5: Solve for x
    x = 3,180,463,953,071.85/1,247,972.72
  6. Step 6: Final answer
    x = 2,548,504.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.