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Finding the Third Proportional to 2,643,771 and 5,798,208

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Solution

The third proportional to 2,643,771 and 5,798,208 is: 12,716,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643,771 : 5,798,208 = 5,798,208 : x
  2. Step 2: Convert to fraction form
    2,643,771/5,798,208 = 5,798,208/x
  3. Step 3: Cross multiply
    2,643,771x = 5,798,208 × 5,798,208
  4. Step 4: Simplify right side
    2,643,771x = 33,619,216,011,264
  5. Step 5: Solve for x
    x = 33,619,216,011,264/2,643,771
  6. Step 6: Final answer
    x = 12,716,387.32

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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.