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Finding the Third Proportional to 685,824 and 1,066,104

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Solution

The third proportional to 685,824 and 1,066,104 is: 1,657,244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,824 : 1,066,104 = 1,066,104 : x
  2. Step 2: Convert to fraction form
    685,824/1,066,104 = 1,066,104/x
  3. Step 3: Cross multiply
    685,824x = 1,066,104 × 1,066,104
  4. Step 4: Simplify right side
    685,824x = 1,136,577,738,816
  5. Step 5: Solve for x
    x = 1,136,577,738,816/685,824
  6. Step 6: Final answer
    x = 1,657,244.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.