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Finding the Third Proportional to 923,764 and 1,985,048

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Solution

The third proportional to 923,764 and 1,985,048 is: 4,265,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,764 : 1,985,048 = 1,985,048 : x
  2. Step 2: Convert to fraction form
    923,764/1,985,048 = 1,985,048/x
  3. Step 3: Cross multiply
    923,764x = 1,985,048 × 1,985,048
  4. Step 4: Simplify right side
    923,764x = 3,940,415,562,304
  5. Step 5: Solve for x
    x = 3,940,415,562,304/923,764
  6. Step 6: Final answer
    x = 4,265,608.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.