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Finding the Third Proportional to 1,383,460 and 3,009,224

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Solution

The third proportional to 1,383,460 and 3,009,224 is: 6,545,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,460 : 3,009,224 = 3,009,224 : x
  2. Step 2: Convert to fraction form
    1,383,460/3,009,224 = 3,009,224/x
  3. Step 3: Cross multiply
    1,383,460x = 3,009,224 × 3,009,224
  4. Step 4: Simplify right side
    1,383,460x = 9,055,429,082,176
  5. Step 5: Solve for x
    x = 9,055,429,082,176/1,383,460
  6. Step 6: Final answer
    x = 6,545,493.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.