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Finding the Third Proportional to 665,307 and 1,430,244

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Solution

The third proportional to 665,307 and 1,430,244 is: 3,074,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,307 : 1,430,244 = 1,430,244 : x
  2. Step 2: Convert to fraction form
    665,307/1,430,244 = 1,430,244/x
  3. Step 3: Cross multiply
    665,307x = 1,430,244 × 1,430,244
  4. Step 4: Simplify right side
    665,307x = 2,045,597,899,536
  5. Step 5: Solve for x
    x = 2,045,597,899,536/665,307
  6. Step 6: Final answer
    x = 3,074,667.63

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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.