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Finding the Third Proportional to 3,490,416 and 5,120,700

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Solution

The third proportional to 3,490,416 and 5,120,700 is: 7,512,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490,416 : 5,120,700 = 5,120,700 : x
  2. Step 2: Convert to fraction form
    3,490,416/5,120,700 = 5,120,700/x
  3. Step 3: Cross multiply
    3,490,416x = 5,120,700 × 5,120,700
  4. Step 4: Simplify right side
    3,490,416x = 26,221,568,490,000
  5. Step 5: Solve for x
    x = 26,221,568,490,000/3,490,416
  6. Step 6: Final answer
    x = 7,512,447.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.