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Finding the Third Proportional to 1,340,380.41 and 2,045,642.34

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Solution

The third proportional to 1,340,380.41 and 2,045,642.34 is: 3,121,988.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,380.41 : 2,045,642.34 = 2,045,642.34 : x
  2. Step 2: Convert to fraction form
    1,340,380.41/2,045,642.34 = 2,045,642.34/x
  3. Step 3: Cross multiply
    1,340,380.41x = 2,045,642.34 × 2,045,642.34
  4. Step 4: Simplify right side
    1,340,380.41x = 4,184,652,598,542.99
  5. Step 5: Solve for x
    x = 4,184,652,598,542.99/1,340,380.41
  6. Step 6: Final answer
    x = 3,121,988.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.