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Finding the Third Proportional to 584,544.75 and 1,256,113.94

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Solution

The third proportional to 584,544.75 and 1,256,113.94 is: 2,699,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,544.75 : 1,256,113.94 = 1,256,113.94 : x
  2. Step 2: Convert to fraction form
    584,544.75/1,256,113.94 = 1,256,113.94/x
  3. Step 3: Cross multiply
    584,544.75x = 1,256,113.94 × 1,256,113.94
  4. Step 4: Simplify right side
    584,544.75x = 1,577,822,223,981.75
  5. Step 5: Solve for x
    x = 1,577,822,223,981.75/584,544.75
  6. Step 6: Final answer
    x = 2,699,232.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.