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Finding the Third Proportional to 2,665,366.50 and 4,094,296.50

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Solution

The third proportional to 2,665,366.50 and 4,094,296.50 is: 6,289,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,366.50 : 4,094,296.50 = 4,094,296.50 : x
  2. Step 2: Convert to fraction form
    2,665,366.50/4,094,296.50 = 4,094,296.50/x
  3. Step 3: Cross multiply
    2,665,366.50x = 4,094,296.50 × 4,094,296.50
  4. Step 4: Simplify right side
    2,665,366.50x = 16,763,263,829,912.25
  5. Step 5: Solve for x
    x = 16,763,263,829,912.25/2,665,366.50
  6. Step 6: Final answer
    x = 6,289,290.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.