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Finding the Third Proportional to 697,825 and 1,106,796

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Solution

The third proportional to 697,825 and 1,106,796 is: 1,755,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,825 : 1,106,796 = 1,106,796 : x
  2. Step 2: Convert to fraction form
    697,825/1,106,796 = 1,106,796/x
  3. Step 3: Cross multiply
    697,825x = 1,106,796 × 1,106,796
  4. Step 4: Simplify right side
    697,825x = 1,224,997,385,616
  5. Step 5: Solve for x
    x = 1,224,997,385,616/697,825
  6. Step 6: Final answer
    x = 1,755,450.70

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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.