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Finding the Third Proportional to 2,477,340 and 3,620,416

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Solution

The third proportional to 2,477,340 and 3,620,416 is: 5,290,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,340 : 3,620,416 = 3,620,416 : x
  2. Step 2: Convert to fraction form
    2,477,340/3,620,416 = 3,620,416/x
  3. Step 3: Cross multiply
    2,477,340x = 3,620,416 × 3,620,416
  4. Step 4: Simplify right side
    2,477,340x = 13,107,412,013,056
  5. Step 5: Solve for x
    x = 13,107,412,013,056/2,477,340
  6. Step 6: Final answer
    x = 5,290,921.72

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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.