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Finding the Third Proportional to 697,800 and 1,106,732

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Solution

The third proportional to 697,800 and 1,106,732 is: 1,755,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,800 : 1,106,732 = 1,106,732 : x
  2. Step 2: Convert to fraction form
    697,800/1,106,732 = 1,106,732/x
  3. Step 3: Cross multiply
    697,800x = 1,106,732 × 1,106,732
  4. Step 4: Simplify right side
    697,800x = 1,224,855,719,824
  5. Step 5: Solve for x
    x = 1,224,855,719,824/697,800
  6. Step 6: Final answer
    x = 1,755,310.58

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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.