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Finding the Third Proportional to 1,464,845.77 and 3,213,326.64

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Solution

The third proportional to 1,464,845.77 and 3,213,326.64 is: 7,048,843.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,845.77 : 3,213,326.64 = 3,213,326.64 : x
  2. Step 2: Convert to fraction form
    1,464,845.77/3,213,326.64 = 3,213,326.64/x
  3. Step 3: Cross multiply
    1,464,845.77x = 3,213,326.64 × 3,213,326.64
  4. Step 4: Simplify right side
    1,464,845.77x = 10,325,468,074,246.55
  5. Step 5: Solve for x
    x = 10,325,468,074,246.55/1,464,845.77
  6. Step 6: Final answer
    x = 7,048,843.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.