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Finding the Third Proportional to 957,211 and 1,481,972

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Solution

The third proportional to 957,211 and 1,481,972 is: 2,294,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,211 : 1,481,972 = 1,481,972 : x
  2. Step 2: Convert to fraction form
    957,211/1,481,972 = 1,481,972/x
  3. Step 3: Cross multiply
    957,211x = 1,481,972 × 1,481,972
  4. Step 4: Simplify right side
    957,211x = 2,196,241,008,784
  5. Step 5: Solve for x
    x = 2,196,241,008,784/957,211
  6. Step 6: Final answer
    x = 2,294,416.81

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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.