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Finding the Third Proportional to 697,256 and 1,505,104

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Solution

The third proportional to 697,256 and 1,505,104 is: 3,248,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,256 : 1,505,104 = 1,505,104 : x
  2. Step 2: Convert to fraction form
    697,256/1,505,104 = 1,505,104/x
  3. Step 3: Cross multiply
    697,256x = 1,505,104 × 1,505,104
  4. Step 4: Simplify right side
    697,256x = 2,265,338,050,816
  5. Step 5: Solve for x
    x = 2,265,338,050,816/697,256
  6. Step 6: Final answer
    x = 3,248,933.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.