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Finding the Third Proportional to 458,766 and 1,066,623

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Solution

The third proportional to 458,766 and 1,066,623 is: 2,479,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,766 : 1,066,623 = 1,066,623 : x
  2. Step 2: Convert to fraction form
    458,766/1,066,623 = 1,066,623/x
  3. Step 3: Cross multiply
    458,766x = 1,066,623 × 1,066,623
  4. Step 4: Simplify right side
    458,766x = 1,137,684,624,129
  5. Step 5: Solve for x
    x = 1,137,684,624,129/458,766
  6. Step 6: Final answer
    x = 2,479,879.99

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.