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Finding the Third Proportional to 555,058 and 1,194,314

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Solution

The third proportional to 555,058 and 1,194,314 is: 2,569,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,058 : 1,194,314 = 1,194,314 : x
  2. Step 2: Convert to fraction form
    555,058/1,194,314 = 1,194,314/x
  3. Step 3: Cross multiply
    555,058x = 1,194,314 × 1,194,314
  4. Step 4: Simplify right side
    555,058x = 1,426,385,930,596
  5. Step 5: Solve for x
    x = 1,426,385,930,596/555,058
  6. Step 6: Final answer
    x = 2,569,796.18

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Why These Related Problems?

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