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Finding the Third Proportional to 458,801 and 1,010,913

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Solution

The third proportional to 458,801 and 1,010,913 is: 2,227,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,801 : 1,010,913 = 1,010,913 : x
  2. Step 2: Convert to fraction form
    458,801/1,010,913 = 1,010,913/x
  3. Step 3: Cross multiply
    458,801x = 1,010,913 × 1,010,913
  4. Step 4: Simplify right side
    458,801x = 1,021,945,093,569
  5. Step 5: Solve for x
    x = 1,021,945,093,569/458,801
  6. Step 6: Final answer
    x = 2,227,425.60

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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.