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Finding the Third Proportional to 1,628,224.50 and 2,430,034.50

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Solution

The third proportional to 1,628,224.50 and 2,430,034.50 is: 3,626,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628,224.50 : 2,430,034.50 = 2,430,034.50 : x
  2. Step 2: Convert to fraction form
    1,628,224.50/2,430,034.50 = 2,430,034.50/x
  3. Step 3: Cross multiply
    1,628,224.50x = 2,430,034.50 × 2,430,034.50
  4. Step 4: Simplify right side
    1,628,224.50x = 5,905,067,671,190.25
  5. Step 5: Solve for x
    x = 5,905,067,671,190.25/1,628,224.50
  6. Step 6: Final answer
    x = 3,626,691.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.