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Finding the Third Proportional to 507,885 and 1,083,270

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Solution

The third proportional to 507,885 and 1,083,270 is: 2,310,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,885 : 1,083,270 = 1,083,270 : x
  2. Step 2: Convert to fraction form
    507,885/1,083,270 = 1,083,270/x
  3. Step 3: Cross multiply
    507,885x = 1,083,270 × 1,083,270
  4. Step 4: Simplify right side
    507,885x = 1,173,473,892,900
  5. Step 5: Solve for x
    x = 1,173,473,892,900/507,885
  6. Step 6: Final answer
    x = 2,310,511.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.