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Finding the Third Proportional to 697,756 and 1,106,682

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Solution

The third proportional to 697,756 and 1,106,682 is: 1,755,262.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,756 : 1,106,682 = 1,106,682 : x
  2. Step 2: Convert to fraction form
    697,756/1,106,682 = 1,106,682/x
  3. Step 3: Cross multiply
    697,756x = 1,106,682 × 1,106,682
  4. Step 4: Simplify right side
    697,756x = 1,224,745,049,124
  5. Step 5: Solve for x
    x = 1,224,745,049,124/697,756
  6. Step 6: Final answer
    x = 1,755,262.66

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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.