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Finding the Third Proportional to 1,207,322 and 1,633,831

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Solution

The third proportional to 1,207,322 and 1,633,831 is: 2,211,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,322 : 1,633,831 = 1,633,831 : x
  2. Step 2: Convert to fraction form
    1,207,322/1,633,831 = 1,633,831/x
  3. Step 3: Cross multiply
    1,207,322x = 1,633,831 × 1,633,831
  4. Step 4: Simplify right side
    1,207,322x = 2,669,403,736,561
  5. Step 5: Solve for x
    x = 2,669,403,736,561/1,207,322
  6. Step 6: Final answer
    x = 2,211,012.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.