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Finding the Third Proportional to 3,575,022.75 and 4,590,232.88

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Solution

The third proportional to 3,575,022.75 and 4,590,232.88 is: 5,893,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575,022.75 : 4,590,232.88 = 4,590,232.88 : x
  2. Step 2: Convert to fraction form
    3,575,022.75/4,590,232.88 = 4,590,232.88/x
  3. Step 3: Cross multiply
    3,575,022.75x = 4,590,232.88 × 4,590,232.88
  4. Step 4: Simplify right side
    3,575,022.75x = 21,070,237,846,730.77
  5. Step 5: Solve for x
    x = 21,070,237,846,730.77/3,575,022.75
  6. Step 6: Final answer
    x = 5,893,735.32

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.