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Finding the Third Proportional to 665,950 and 1,438,307

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Solution

The third proportional to 665,950 and 1,438,307 is: 3,106,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,950 : 1,438,307 = 1,438,307 : x
  2. Step 2: Convert to fraction form
    665,950/1,438,307 = 1,438,307/x
  3. Step 3: Cross multiply
    665,950x = 1,438,307 × 1,438,307
  4. Step 4: Simplify right side
    665,950x = 2,068,727,026,249
  5. Step 5: Solve for x
    x = 2,068,727,026,249/665,950
  6. Step 6: Final answer
    x = 3,106,429.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.