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Finding the Third Proportional to 1,193,032 and 1,806,920

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Solution

The third proportional to 1,193,032 and 1,806,920 is: 2,736,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,032 : 1,806,920 = 1,806,920 : x
  2. Step 2: Convert to fraction form
    1,193,032/1,806,920 = 1,806,920/x
  3. Step 3: Cross multiply
    1,193,032x = 1,806,920 × 1,806,920
  4. Step 4: Simplify right side
    1,193,032x = 3,264,959,886,400
  5. Step 5: Solve for x
    x = 3,264,959,886,400/1,193,032
  6. Step 6: Final answer
    x = 2,736,690.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.