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Finding the Third Proportional to 734,011.88 and 1,617,023.25

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Solution

The third proportional to 734,011.88 and 1,617,023.25 is: 3,562,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,011.88 : 1,617,023.25 = 1,617,023.25 : x
  2. Step 2: Convert to fraction form
    734,011.88/1,617,023.25 = 1,617,023.25/x
  3. Step 3: Cross multiply
    734,011.88x = 1,617,023.25 × 1,617,023.25
  4. Step 4: Simplify right side
    734,011.88x = 2,614,764,191,040.56
  5. Step 5: Solve for x
    x = 2,614,764,191,040.56/734,011.88
  6. Step 6: Final answer
    x = 3,562,291.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.