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Finding the Third Proportional to 1,211,513.63 and 2,643,063.75

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Solution

The third proportional to 1,211,513.63 and 2,643,063.75 is: 5,766,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,513.63 : 2,643,063.75 = 2,643,063.75 : x
  2. Step 2: Convert to fraction form
    1,211,513.63/2,643,063.75 = 2,643,063.75/x
  3. Step 3: Cross multiply
    1,211,513.63x = 2,643,063.75 × 2,643,063.75
  4. Step 4: Simplify right side
    1,211,513.63x = 6,985,785,986,564.06
  5. Step 5: Solve for x
    x = 6,985,785,986,564.06/1,211,513.63
  6. Step 6: Final answer
    x = 5,766,163.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.