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Finding the Third Proportional to 1,325,819,842 and 1,843,446,987

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Solution

The third proportional to 1,325,819,842 and 1,843,446,987 is: 2,563,166,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,819,842 : 1,843,446,987 = 1,843,446,987 : x
  2. Step 2: Convert to fraction form
    1,325,819,842/1,843,446,987 = 1,843,446,987/x
  3. Step 3: Cross multiply
    1,325,819,842x = 1,843,446,987 × 1,843,446,987
  4. Step 4: Simplify right side
    1,325,819,842x = 3,398,296,793,879,377,920
  5. Step 5: Solve for x
    x = 3,398,296,793,879,377,920/1,325,819,842
  6. Step 6: Final answer
    x = 2,563,166,341.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.