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Finding the Third Proportional to 1,863,747.75 and 4,076,442.75

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Solution

The third proportional to 1,863,747.75 and 4,076,442.75 is: 8,916,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,747.75 : 4,076,442.75 = 4,076,442.75 : x
  2. Step 2: Convert to fraction form
    1,863,747.75/4,076,442.75 = 4,076,442.75/x
  3. Step 3: Cross multiply
    1,863,747.75x = 4,076,442.75 × 4,076,442.75
  4. Step 4: Simplify right side
    1,863,747.75x = 16,617,385,494,027.56
  5. Step 5: Solve for x
    x = 16,617,385,494,027.56/1,863,747.75
  6. Step 6: Final answer
    x = 8,916,112.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.