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Finding the Third Proportional to 668,409.19 and 1,443,350.81

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Solution

The third proportional to 668,409.19 and 1,443,350.81 is: 3,116,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,409.19 : 1,443,350.81 = 1,443,350.81 : x
  2. Step 2: Convert to fraction form
    668,409.19/1,443,350.81 = 1,443,350.81/x
  3. Step 3: Cross multiply
    668,409.19x = 1,443,350.81 × 1,443,350.81
  4. Step 4: Simplify right side
    668,409.19x = 2,083,261,567,944.41
  5. Step 5: Solve for x
    x = 2,083,261,567,944.41/668,409.19
  6. Step 6: Final answer
    x = 3,116,745.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.