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Finding the Third Proportional to 1,100,266 and 1,683,092

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Solution

The third proportional to 1,100,266 and 1,683,092 is: 2,574,648.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,266 : 1,683,092 = 1,683,092 : x
  2. Step 2: Convert to fraction form
    1,100,266/1,683,092 = 1,683,092/x
  3. Step 3: Cross multiply
    1,100,266x = 1,683,092 × 1,683,092
  4. Step 4: Simplify right side
    1,100,266x = 2,832,798,680,464
  5. Step 5: Solve for x
    x = 2,832,798,680,464/1,100,266
  6. Step 6: Final answer
    x = 2,574,648.93

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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.