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Finding the Third Proportional to 2,477,248 and 3,620,286

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Solution

The third proportional to 2,477,248 and 3,620,286 is: 5,290,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,248 : 3,620,286 = 3,620,286 : x
  2. Step 2: Convert to fraction form
    2,477,248/3,620,286 = 3,620,286/x
  3. Step 3: Cross multiply
    2,477,248x = 3,620,286 × 3,620,286
  4. Step 4: Simplify right side
    2,477,248x = 13,106,470,721,796
  5. Step 5: Solve for x
    x = 13,106,470,721,796/2,477,248
  6. Step 6: Final answer
    x = 5,290,738.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.