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Finding the Third Proportional to 497,268 and 1,085,620

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Solution

The third proportional to 497,268 and 1,085,620 is: 2,370,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,268 : 1,085,620 = 1,085,620 : x
  2. Step 2: Convert to fraction form
    497,268/1,085,620 = 1,085,620/x
  3. Step 3: Cross multiply
    497,268x = 1,085,620 × 1,085,620
  4. Step 4: Simplify right side
    497,268x = 1,178,570,784,400
  5. Step 5: Solve for x
    x = 1,178,570,784,400/497,268
  6. Step 6: Final answer
    x = 2,370,091.75

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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.