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Finding the Third Proportional to 1,383,160 and 3,230,648

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Solution

The third proportional to 1,383,160 and 3,230,648 is: 7,545,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,160 : 3,230,648 = 3,230,648 : x
  2. Step 2: Convert to fraction form
    1,383,160/3,230,648 = 3,230,648/x
  3. Step 3: Cross multiply
    1,383,160x = 3,230,648 × 3,230,648
  4. Step 4: Simplify right side
    1,383,160x = 10,437,086,499,904
  5. Step 5: Solve for x
    x = 10,437,086,499,904/1,383,160
  6. Step 6: Final answer
    x = 7,545,827.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.