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Finding the Third Proportional to 619,269 and 957,084

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Solution

The third proportional to 619,269 and 957,084 is: 1,479,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,269 : 957,084 = 957,084 : x
  2. Step 2: Convert to fraction form
    619,269/957,084 = 957,084/x
  3. Step 3: Cross multiply
    619,269x = 957,084 × 957,084
  4. Step 4: Simplify right side
    619,269x = 916,009,783,056
  5. Step 5: Solve for x
    x = 916,009,783,056/619,269
  6. Step 6: Final answer
    x = 1,479,179.13

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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.