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Finding the Third Proportional to 1,632,416 and 3,544,400

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Solution

The third proportional to 1,632,416 and 3,544,400 is: 7,695,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,416 : 3,544,400 = 3,544,400 : x
  2. Step 2: Convert to fraction form
    1,632,416/3,544,400 = 3,544,400/x
  3. Step 3: Cross multiply
    1,632,416x = 3,544,400 × 3,544,400
  4. Step 4: Simplify right side
    1,632,416x = 12,562,771,360,000
  5. Step 5: Solve for x
    x = 12,562,771,360,000/1,632,416
  6. Step 6: Final answer
    x = 7,695,814.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.