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Finding the Third Proportional to 1,462,578 and 2,232,747

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Solution

The third proportional to 1,462,578 and 2,232,747 is: 3,408,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,578 : 2,232,747 = 2,232,747 : x
  2. Step 2: Convert to fraction form
    1,462,578/2,232,747 = 2,232,747/x
  3. Step 3: Cross multiply
    1,462,578x = 2,232,747 × 2,232,747
  4. Step 4: Simplify right side
    1,462,578x = 4,985,159,166,009
  5. Step 5: Solve for x
    x = 4,985,159,166,009/1,462,578
  6. Step 6: Final answer
    x = 3,408,474.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.