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Finding the Third Proportional to 883,684.69 and 2,065,137.19

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Solution

The third proportional to 883,684.69 and 2,065,137.19 is: 4,826,146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,684.69 : 2,065,137.19 = 2,065,137.19 : x
  2. Step 2: Convert to fraction form
    883,684.69/2,065,137.19 = 2,065,137.19/x
  3. Step 3: Cross multiply
    883,684.69x = 2,065,137.19 × 2,065,137.19
  4. Step 4: Simplify right side
    883,684.69x = 4,264,791,603,195.41
  5. Step 5: Solve for x
    x = 4,264,791,603,195.41/883,684.69
  6. Step 6: Final answer
    x = 4,826,146.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.