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Finding the Third Proportional to 1,863,763.50 and 4,076,474.25

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Solution

The third proportional to 1,863,763.50 and 4,076,474.25 is: 8,916,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863,763.50 : 4,076,474.25 = 4,076,474.25 : x
  2. Step 2: Convert to fraction form
    1,863,763.50/4,076,474.25 = 4,076,474.25/x
  3. Step 3: Cross multiply
    1,863,763.50x = 4,076,474.25 × 4,076,474.25
  4. Step 4: Simplify right side
    1,863,763.50x = 16,617,642,310,913.06
  5. Step 5: Solve for x
    x = 16,617,642,310,913.06/1,863,763.50
  6. Step 6: Final answer
    x = 8,916,175.42

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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.