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Finding the Third Proportional to 461,862 and 1,014,444

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Solution

The third proportional to 461,862 and 1,014,444 is: 2,228,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,862 : 1,014,444 = 1,014,444 : x
  2. Step 2: Convert to fraction form
    461,862/1,014,444 = 1,014,444/x
  3. Step 3: Cross multiply
    461,862x = 1,014,444 × 1,014,444
  4. Step 4: Simplify right side
    461,862x = 1,029,096,629,136
  5. Step 5: Solve for x
    x = 1,029,096,629,136/461,862
  6. Step 6: Final answer
    x = 2,228,147.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.