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Finding the Third Proportional to 2,014,416 and 4,328,224

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Solution

The third proportional to 2,014,416 and 4,328,224 is: 9,299,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014,416 : 4,328,224 = 4,328,224 : x
  2. Step 2: Convert to fraction form
    2,014,416/4,328,224 = 4,328,224/x
  3. Step 3: Cross multiply
    2,014,416x = 4,328,224 × 4,328,224
  4. Step 4: Simplify right side
    2,014,416x = 18,733,522,994,176
  5. Step 5: Solve for x
    x = 18,733,522,994,176/2,014,416
  6. Step 6: Final answer
    x = 9,299,729.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.