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Finding the Third Proportional to 1,191,575.81 and 1,764,215.44

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Solution

The third proportional to 1,191,575.81 and 1,764,215.44 is: 2,612,050.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,575.81 : 1,764,215.44 = 1,764,215.44 : x
  2. Step 2: Convert to fraction form
    1,191,575.81/1,764,215.44 = 1,764,215.44/x
  3. Step 3: Cross multiply
    1,191,575.81x = 1,764,215.44 × 1,764,215.44
  4. Step 4: Simplify right side
    1,191,575.81x = 3,112,456,109,913.32
  5. Step 5: Solve for x
    x = 3,112,456,109,913.32/1,191,575.81
  6. Step 6: Final answer
    x = 2,612,050.43

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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.