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Finding the Third Proportional to 2,235,872 and 4,825,856

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Solution

The third proportional to 2,235,872 and 4,825,856 is: 10,416,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,872 : 4,825,856 = 4,825,856 : x
  2. Step 2: Convert to fraction form
    2,235,872/4,825,856 = 4,825,856/x
  3. Step 3: Cross multiply
    2,235,872x = 4,825,856 × 4,825,856
  4. Step 4: Simplify right side
    2,235,872x = 23,288,886,132,736
  5. Step 5: Solve for x
    x = 23,288,886,132,736/2,235,872
  6. Step 6: Final answer
    x = 10,416,019.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.