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Finding the Third Proportional to 1,311,741 and 1,994,827.50

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Solution

The third proportional to 1,311,741 and 1,994,827.50 is: 3,033,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,741 : 1,994,827.50 = 1,994,827.50 : x
  2. Step 2: Convert to fraction form
    1,311,741/1,994,827.50 = 1,994,827.50/x
  3. Step 3: Cross multiply
    1,311,741x = 1,994,827.50 × 1,994,827.50
  4. Step 4: Simplify right side
    1,311,741x = 3,979,336,754,756.25
  5. Step 5: Solve for x
    x = 3,979,336,754,756.25/1,311,741
  6. Step 6: Final answer
    x = 3,033,629.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.