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Finding the Third Proportional to 448,831 and 973,958

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Solution

The third proportional to 448,831 and 973,958 is: 2,113,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,831 : 973,958 = 973,958 : x
  2. Step 2: Convert to fraction form
    448,831/973,958 = 973,958/x
  3. Step 3: Cross multiply
    448,831x = 973,958 × 973,958
  4. Step 4: Simplify right side
    448,831x = 948,594,185,764
  5. Step 5: Solve for x
    x = 948,594,185,764/448,831
  6. Step 6: Final answer
    x = 2,113,477.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.