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Finding the Third Proportional to 2,961,216 and 6,429,816

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Solution

The third proportional to 2,961,216 and 6,429,816 is: 13,961,336.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961,216 : 6,429,816 = 6,429,816 : x
  2. Step 2: Convert to fraction form
    2,961,216/6,429,816 = 6,429,816/x
  3. Step 3: Cross multiply
    2,961,216x = 6,429,816 × 6,429,816
  4. Step 4: Simplify right side
    2,961,216x = 41,342,533,793,856
  5. Step 5: Solve for x
    x = 41,342,533,793,856/2,961,216
  6. Step 6: Final answer
    x = 13,961,336.76

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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.