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Finding the Third Proportional to 595,198 and 1,284,486

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Solution

The third proportional to 595,198 and 1,284,486 is: 2,772,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,198 : 1,284,486 = 1,284,486 : x
  2. Step 2: Convert to fraction form
    595,198/1,284,486 = 1,284,486/x
  3. Step 3: Cross multiply
    595,198x = 1,284,486 × 1,284,486
  4. Step 4: Simplify right side
    595,198x = 1,649,904,284,196
  5. Step 5: Solve for x
    x = 1,649,904,284,196/595,198
  6. Step 6: Final answer
    x = 2,772,025.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.