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Finding the Third Proportional to 661,450 and 1,051,251

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Solution

The third proportional to 661,450 and 1,051,251 is: 1,670,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,450 : 1,051,251 = 1,051,251 : x
  2. Step 2: Convert to fraction form
    661,450/1,051,251 = 1,051,251/x
  3. Step 3: Cross multiply
    661,450x = 1,051,251 × 1,051,251
  4. Step 4: Simplify right side
    661,450x = 1,105,128,665,001
  5. Step 5: Solve for x
    x = 1,105,128,665,001/661,450
  6. Step 6: Final answer
    x = 1,670,766.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.