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Finding the Third Proportional to 618,830 and 957,387

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Solution

The third proportional to 618,830 and 957,387 is: 1,481,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,830 : 957,387 = 957,387 : x
  2. Step 2: Convert to fraction form
    618,830/957,387 = 957,387/x
  3. Step 3: Cross multiply
    618,830x = 957,387 × 957,387
  4. Step 4: Simplify right side
    618,830x = 916,589,867,769
  5. Step 5: Solve for x
    x = 916,589,867,769/618,830
  6. Step 6: Final answer
    x = 1,481,165.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.