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Finding the Third Proportional to 1,462,141 and 3,260,479

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Solution

The third proportional to 1,462,141 and 3,260,479 is: 7,270,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,141 : 3,260,479 = 3,260,479 : x
  2. Step 2: Convert to fraction form
    1,462,141/3,260,479 = 3,260,479/x
  3. Step 3: Cross multiply
    1,462,141x = 3,260,479 × 3,260,479
  4. Step 4: Simplify right side
    1,462,141x = 10,630,723,309,441
  5. Step 5: Solve for x
    x = 10,630,723,309,441/1,462,141
  6. Step 6: Final answer
    x = 7,270,655.37

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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.