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Finding the Third Proportional to 507,058 and 1,086,096

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Solution

The third proportional to 507,058 and 1,086,096 is: 2,326,370.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,058 : 1,086,096 = 1,086,096 : x
  2. Step 2: Convert to fraction form
    507,058/1,086,096 = 1,086,096/x
  3. Step 3: Cross multiply
    507,058x = 1,086,096 × 1,086,096
  4. Step 4: Simplify right side
    507,058x = 1,179,604,521,216
  5. Step 5: Solve for x
    x = 1,179,604,521,216/507,058
  6. Step 6: Final answer
    x = 2,326,370.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.