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Finding the Third Proportional to 1,638,185.63 and 2,564,231.63

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Solution

The third proportional to 1,638,185.63 and 2,564,231.63 is: 4,013,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,185.63 : 2,564,231.63 = 2,564,231.63 : x
  2. Step 2: Convert to fraction form
    1,638,185.63/2,564,231.63 = 2,564,231.63/x
  3. Step 3: Cross multiply
    1,638,185.63x = 2,564,231.63 × 2,564,231.63
  4. Step 4: Simplify right side
    1,638,185.63x = 6,575,283,826,650.14
  5. Step 5: Solve for x
    x = 6,575,283,826,650.14/1,638,185.63
  6. Step 6: Final answer
    x = 4,013,759.93

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.