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Finding the Third Proportional to 1,058,209.50 and 2,286,215

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Solution

The third proportional to 1,058,209.50 and 2,286,215 is: 4,939,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,209.50 : 2,286,215 = 2,286,215 : x
  2. Step 2: Convert to fraction form
    1,058,209.50/2,286,215 = 2,286,215/x
  3. Step 3: Cross multiply
    1,058,209.50x = 2,286,215 × 2,286,215
  4. Step 4: Simplify right side
    1,058,209.50x = 5,226,779,026,225
  5. Step 5: Solve for x
    x = 5,226,779,026,225/1,058,209.50
  6. Step 6: Final answer
    x = 4,939,266.78

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Why These Related Problems?

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