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Finding the Third Proportional to 591,228 and 882,954

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Solution

The third proportional to 591,228 and 882,954 is: 1,318,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,228 : 882,954 = 882,954 : x
  2. Step 2: Convert to fraction form
    591,228/882,954 = 882,954/x
  3. Step 3: Cross multiply
    591,228x = 882,954 × 882,954
  4. Step 4: Simplify right side
    591,228x = 779,607,766,116
  5. Step 5: Solve for x
    x = 779,607,766,116/591,228
  6. Step 6: Final answer
    x = 1,318,624.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.