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Finding the Third Proportional to 814,338 and 1,268,040

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Solution

The third proportional to 814,338 and 1,268,040 is: 1,974,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,338 : 1,268,040 = 1,268,040 : x
  2. Step 2: Convert to fraction form
    814,338/1,268,040 = 1,268,040/x
  3. Step 3: Cross multiply
    814,338x = 1,268,040 × 1,268,040
  4. Step 4: Simplify right side
    814,338x = 1,607,925,441,600
  5. Step 5: Solve for x
    x = 1,607,925,441,600/814,338
  6. Step 6: Final answer
    x = 1,974,518.49

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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.