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Finding the Third Proportional to 2,305,440 and 3,704,184

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Solution

The third proportional to 2,305,440 and 3,704,184 is: 5,951,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,440 : 3,704,184 = 3,704,184 : x
  2. Step 2: Convert to fraction form
    2,305,440/3,704,184 = 3,704,184/x
  3. Step 3: Cross multiply
    2,305,440x = 3,704,184 × 3,704,184
  4. Step 4: Simplify right side
    2,305,440x = 13,720,979,105,856
  5. Step 5: Solve for x
    x = 13,720,979,105,856/2,305,440
  6. Step 6: Final answer
    x = 5,951,566.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.