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Finding the Third Proportional to 963,615 and 2,075,226

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Solution

The third proportional to 963,615 and 2,075,226 is: 4,469,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,615 : 2,075,226 = 2,075,226 : x
  2. Step 2: Convert to fraction form
    963,615/2,075,226 = 2,075,226/x
  3. Step 3: Cross multiply
    963,615x = 2,075,226 × 2,075,226
  4. Step 4: Simplify right side
    963,615x = 4,306,562,951,076
  5. Step 5: Solve for x
    x = 4,306,562,951,076/963,615
  6. Step 6: Final answer
    x = 4,469,173.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.