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Finding the Third Proportional to 1,429,726 and 2,228,994

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Solution

The third proportional to 1,429,726 and 2,228,994 is: 3,475,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,726 : 2,228,994 = 2,228,994 : x
  2. Step 2: Convert to fraction form
    1,429,726/2,228,994 = 2,228,994/x
  3. Step 3: Cross multiply
    1,429,726x = 2,228,994 × 2,228,994
  4. Step 4: Simplify right side
    1,429,726x = 4,968,414,252,036
  5. Step 5: Solve for x
    x = 4,968,414,252,036/1,429,726
  6. Step 6: Final answer
    x = 3,475,081.42

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