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Finding the Third Proportional to 1,471,920 and 2,192,328

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Solution

The third proportional to 1,471,920 and 2,192,328 is: 3,265,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,920 : 2,192,328 = 2,192,328 : x
  2. Step 2: Convert to fraction form
    1,471,920/2,192,328 = 2,192,328/x
  3. Step 3: Cross multiply
    1,471,920x = 2,192,328 × 2,192,328
  4. Step 4: Simplify right side
    1,471,920x = 4,806,302,059,584
  5. Step 5: Solve for x
    x = 4,806,302,059,584/1,471,920
  6. Step 6: Final answer
    x = 3,265,328.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.