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Finding the Third Proportional to 584,569.41 and 1,256,163.19

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Solution

The third proportional to 584,569.41 and 1,256,163.19 is: 2,699,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,569.41 : 1,256,163.19 = 1,256,163.19 : x
  2. Step 2: Convert to fraction form
    584,569.41/1,256,163.19 = 1,256,163.19/x
  3. Step 3: Cross multiply
    584,569.41x = 1,256,163.19 × 1,256,163.19
  4. Step 4: Simplify right side
    584,569.41x = 1,577,945,953,630.16
  5. Step 5: Solve for x
    x = 1,577,945,953,630.16/584,569.41
  6. Step 6: Final answer
    x = 2,699,330.37

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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.