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Finding the Third Proportional to 1,462,142 and 3,260,481

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Solution

The third proportional to 1,462,142 and 3,260,481 is: 7,270,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,142 : 3,260,481 = 3,260,481 : x
  2. Step 2: Convert to fraction form
    1,462,142/3,260,481 = 3,260,481/x
  3. Step 3: Cross multiply
    1,462,142x = 3,260,481 × 3,260,481
  4. Step 4: Simplify right side
    1,462,142x = 10,630,736,351,361
  5. Step 5: Solve for x
    x = 10,630,736,351,361/1,462,142
  6. Step 6: Final answer
    x = 7,270,659.31

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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.