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Finding the Third Proportional to 1,754,752 and 3,647,296

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Solution

The third proportional to 1,754,752 and 3,647,296 is: 7,580,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,752 : 3,647,296 = 3,647,296 : x
  2. Step 2: Convert to fraction form
    1,754,752/3,647,296 = 3,647,296/x
  3. Step 3: Cross multiply
    1,754,752x = 3,647,296 × 3,647,296
  4. Step 4: Simplify right side
    1,754,752x = 13,302,768,111,616
  5. Step 5: Solve for x
    x = 13,302,768,111,616/1,754,752
  6. Step 6: Final answer
    x = 7,580,996.12

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.