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Finding the Third Proportional to 678,732 and 1,462,368

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Solution

The third proportional to 678,732 and 1,462,368 is: 3,150,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,732 : 1,462,368 = 1,462,368 : x
  2. Step 2: Convert to fraction form
    678,732/1,462,368 = 1,462,368/x
  3. Step 3: Cross multiply
    678,732x = 1,462,368 × 1,462,368
  4. Step 4: Simplify right side
    678,732x = 2,138,520,167,424
  5. Step 5: Solve for x
    x = 2,138,520,167,424/678,732
  6. Step 6: Final answer
    x = 3,150,757.84

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