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Finding the Third Proportional to 1,020,692 and 2,384,042

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Solution

The third proportional to 1,020,692 and 2,384,042 is: 5,568,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,692 : 2,384,042 = 2,384,042 : x
  2. Step 2: Convert to fraction form
    1,020,692/2,384,042 = 2,384,042/x
  3. Step 3: Cross multiply
    1,020,692x = 2,384,042 × 2,384,042
  4. Step 4: Simplify right side
    1,020,692x = 5,683,656,257,764
  5. Step 5: Solve for x
    x = 5,683,656,257,764/1,020,692
  6. Step 6: Final answer
    x = 5,568,434.22

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.