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Finding the Third Proportional to 507,348 and 1,093,184

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Solution

The third proportional to 507,348 and 1,093,184 is: 2,355,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,348 : 1,093,184 = 1,093,184 : x
  2. Step 2: Convert to fraction form
    507,348/1,093,184 = 1,093,184/x
  3. Step 3: Cross multiply
    507,348x = 1,093,184 × 1,093,184
  4. Step 4: Simplify right side
    507,348x = 1,195,051,257,856
  5. Step 5: Solve for x
    x = 1,195,051,257,856/507,348
  6. Step 6: Final answer
    x = 2,355,486.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.