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Finding the Third Proportional to 678,311 and 1,049,826

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Solution

The third proportional to 678,311 and 1,049,826 is: 1,624,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,311 : 1,049,826 = 1,049,826 : x
  2. Step 2: Convert to fraction form
    678,311/1,049,826 = 1,049,826/x
  3. Step 3: Cross multiply
    678,311x = 1,049,826 × 1,049,826
  4. Step 4: Simplify right side
    678,311x = 1,102,134,630,276
  5. Step 5: Solve for x
    x = 1,102,134,630,276/678,311
  6. Step 6: Final answer
    x = 1,624,821.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.