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Finding the Third Proportional to 1,194,724.63 and 1,769,680.50

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Solution

The third proportional to 1,194,724.63 and 1,769,680.50 is: 2,621,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194,724.63 : 1,769,680.50 = 1,769,680.50 : x
  2. Step 2: Convert to fraction form
    1,194,724.63/1,769,680.50 = 1,769,680.50/x
  3. Step 3: Cross multiply
    1,194,724.63x = 1,769,680.50 × 1,769,680.50
  4. Step 4: Simplify right side
    1,194,724.63x = 3,131,769,072,080.25
  5. Step 5: Solve for x
    x = 3,131,769,072,080.25/1,194,724.63
  6. Step 6: Final answer
    x = 2,621,331.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.