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Finding the Third Proportional to 678,271 and 1,079,676

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Solution

The third proportional to 678,271 and 1,079,676 is: 1,718,634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,271 : 1,079,676 = 1,079,676 : x
  2. Step 2: Convert to fraction form
    678,271/1,079,676 = 1,079,676/x
  3. Step 3: Cross multiply
    678,271x = 1,079,676 × 1,079,676
  4. Step 4: Simplify right side
    678,271x = 1,165,700,264,976
  5. Step 5: Solve for x
    x = 1,165,700,264,976/678,271
  6. Step 6: Final answer
    x = 1,718,634.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.