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Finding the Third Proportional to 720,873 and 1,534,923

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Solution

The third proportional to 720,873 and 1,534,923 is: 3,268,243.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,873 : 1,534,923 = 1,534,923 : x
  2. Step 2: Convert to fraction form
    720,873/1,534,923 = 1,534,923/x
  3. Step 3: Cross multiply
    720,873x = 1,534,923 × 1,534,923
  4. Step 4: Simplify right side
    720,873x = 2,355,988,615,929
  5. Step 5: Solve for x
    x = 2,355,988,615,929/720,873
  6. Step 6: Final answer
    x = 3,268,243.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.