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Finding the Third Proportional to 685,683 and 1,045,928

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Solution

The third proportional to 685,683 and 1,045,928 is: 1,595,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,683 : 1,045,928 = 1,045,928 : x
  2. Step 2: Convert to fraction form
    685,683/1,045,928 = 1,045,928/x
  3. Step 3: Cross multiply
    685,683x = 1,045,928 × 1,045,928
  4. Step 4: Simplify right side
    685,683x = 1,093,965,381,184
  5. Step 5: Solve for x
    x = 1,093,965,381,184/685,683
  6. Step 6: Final answer
    x = 1,595,438.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.