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Finding the Third Proportional to 1,167,268,596 and 1,821,571,194

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Solution

The third proportional to 1,167,268,596 and 1,821,571,194 is: 2,842,637,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,268,596 : 1,821,571,194 = 1,821,571,194 : x
  2. Step 2: Convert to fraction form
    1,167,268,596/1,821,571,194 = 1,821,571,194/x
  3. Step 3: Cross multiply
    1,167,268,596x = 1,821,571,194 × 1,821,571,194
  4. Step 4: Simplify right side
    1,167,268,596x = 3,318,121,614,810,585,600
  5. Step 5: Solve for x
    x = 3,318,121,614,810,585,600/1,167,268,596
  6. Step 6: Final answer
    x = 2,842,637,612.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.