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Finding the Third Proportional to 1,843,137 and 2,884,994

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Solution

The third proportional to 1,843,137 and 2,884,994 is: 4,515,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,137 : 2,884,994 = 2,884,994 : x
  2. Step 2: Convert to fraction form
    1,843,137/2,884,994 = 2,884,994/x
  3. Step 3: Cross multiply
    1,843,137x = 2,884,994 × 2,884,994
  4. Step 4: Simplify right side
    1,843,137x = 8,323,190,380,036
  5. Step 5: Solve for x
    x = 8,323,190,380,036/1,843,137
  6. Step 6: Final answer
    x = 4,515,774.13

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.