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Finding the Third Proportional to 697,296 and 1,505,184

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Solution

The third proportional to 697,296 and 1,505,184 is: 3,249,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,296 : 1,505,184 = 1,505,184 : x
  2. Step 2: Convert to fraction form
    697,296/1,505,184 = 1,505,184/x
  3. Step 3: Cross multiply
    697,296x = 1,505,184 × 1,505,184
  4. Step 4: Simplify right side
    697,296x = 2,265,578,873,856
  5. Step 5: Solve for x
    x = 2,265,578,873,856/697,296
  6. Step 6: Final answer
    x = 3,249,092.03

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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.