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Finding the Third Proportional to 1,623,042 and 3,471,224

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Solution

The third proportional to 1,623,042 and 3,471,224 is: 7,423,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623,042 : 3,471,224 = 3,471,224 : x
  2. Step 2: Convert to fraction form
    1,623,042/3,471,224 = 3,471,224/x
  3. Step 3: Cross multiply
    1,623,042x = 3,471,224 × 3,471,224
  4. Step 4: Simplify right side
    1,623,042x = 12,049,396,058,176
  5. Step 5: Solve for x
    x = 12,049,396,058,176/1,623,042
  6. Step 6: Final answer
    x = 7,423,958.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.