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Finding the Third Proportional to 496,328 and 1,087,184

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Solution

The third proportional to 496,328 and 1,087,184 is: 2,381,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,328 : 1,087,184 = 1,087,184 : x
  2. Step 2: Convert to fraction form
    496,328/1,087,184 = 1,087,184/x
  3. Step 3: Cross multiply
    496,328x = 1,087,184 × 1,087,184
  4. Step 4: Simplify right side
    496,328x = 1,181,969,049,856
  5. Step 5: Solve for x
    x = 1,181,969,049,856/496,328
  6. Step 6: Final answer
    x = 2,381,427.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.