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Finding the Third Proportional to 619,288 and 957,114

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Solution

The third proportional to 619,288 and 957,114 is: 1,479,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,288 : 957,114 = 957,114 : x
  2. Step 2: Convert to fraction form
    619,288/957,114 = 957,114/x
  3. Step 3: Cross multiply
    619,288x = 957,114 × 957,114
  4. Step 4: Simplify right side
    619,288x = 916,067,208,996
  5. Step 5: Solve for x
    x = 916,067,208,996/619,288
  6. Step 6: Final answer
    x = 1,479,226.48

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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.