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Finding the Third Proportional to 1,429,726 and 2,228,991

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Solution

The third proportional to 1,429,726 and 2,228,991 is: 3,475,072.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,726 : 2,228,991 = 2,228,991 : x
  2. Step 2: Convert to fraction form
    1,429,726/2,228,991 = 2,228,991/x
  3. Step 3: Cross multiply
    1,429,726x = 2,228,991 × 2,228,991
  4. Step 4: Simplify right side
    1,429,726x = 4,968,400,878,081
  5. Step 5: Solve for x
    x = 4,968,400,878,081/1,429,726
  6. Step 6: Final answer
    x = 3,475,072.06

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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.