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Finding the Third Proportional to 1,462,120.88 and 3,260,428.31

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Solution

The third proportional to 1,462,120.88 and 3,260,428.31 is: 7,270,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,120.88 : 3,260,428.31 = 3,260,428.31 : x
  2. Step 2: Convert to fraction form
    1,462,120.88/3,260,428.31 = 3,260,428.31/x
  3. Step 3: Cross multiply
    1,462,120.88x = 3,260,428.31 × 3,260,428.31
  4. Step 4: Simplify right side
    1,462,120.88x = 10,630,392,780,951.60
  5. Step 5: Solve for x
    x = 10,630,392,780,951.60/1,462,120.88
  6. Step 6: Final answer
    x = 7,270,529.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.