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Finding the Third Proportional to 524,964 and 1,084,923

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Solution

The third proportional to 524,964 and 1,084,923 is: 2,242,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,964 : 1,084,923 = 1,084,923 : x
  2. Step 2: Convert to fraction form
    524,964/1,084,923 = 1,084,923/x
  3. Step 3: Cross multiply
    524,964x = 1,084,923 × 1,084,923
  4. Step 4: Simplify right side
    524,964x = 1,177,057,915,929
  5. Step 5: Solve for x
    x = 1,177,057,915,929/524,964
  6. Step 6: Final answer
    x = 2,242,168.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.