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Finding the Third Proportional to 581,760 and 1,268,640

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Solution

The third proportional to 581,760 and 1,268,640 is: 2,766,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,760 : 1,268,640 = 1,268,640 : x
  2. Step 2: Convert to fraction form
    581,760/1,268,640 = 1,268,640/x
  3. Step 3: Cross multiply
    581,760x = 1,268,640 × 1,268,640
  4. Step 4: Simplify right side
    581,760x = 1,609,447,449,600
  5. Step 5: Solve for x
    x = 1,609,447,449,600/581,760
  6. Step 6: Final answer
    x = 2,766,514.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.