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Finding the Third Proportional to 584,944.50 and 1,269,883.50

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Solution

The third proportional to 584,944.50 and 1,269,883.50 is: 2,756,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,944.50 : 1,269,883.50 = 1,269,883.50 : x
  2. Step 2: Convert to fraction form
    584,944.50/1,269,883.50 = 1,269,883.50/x
  3. Step 3: Cross multiply
    584,944.50x = 1,269,883.50 × 1,269,883.50
  4. Step 4: Simplify right side
    584,944.50x = 1,612,604,103,572.25
  5. Step 5: Solve for x
    x = 1,612,604,103,572.25/584,944.50
  6. Step 6: Final answer
    x = 2,756,849.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.