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Finding the Third Proportional to 694,678 and 1,039,101

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Solution

The third proportional to 694,678 and 1,039,101 is: 1,554,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,678 : 1,039,101 = 1,039,101 : x
  2. Step 2: Convert to fraction form
    694,678/1,039,101 = 1,039,101/x
  3. Step 3: Cross multiply
    694,678x = 1,039,101 × 1,039,101
  4. Step 4: Simplify right side
    694,678x = 1,079,730,888,201
  5. Step 5: Solve for x
    x = 1,079,730,888,201/694,678
  6. Step 6: Final answer
    x = 1,554,289.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.