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Finding the Third Proportional to 743,024 and 1,628,496

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Solution

The third proportional to 743,024 and 1,628,496 is: 3,569,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,024 : 1,628,496 = 1,628,496 : x
  2. Step 2: Convert to fraction form
    743,024/1,628,496 = 1,628,496/x
  3. Step 3: Cross multiply
    743,024x = 1,628,496 × 1,628,496
  4. Step 4: Simplify right side
    743,024x = 2,651,999,222,016
  5. Step 5: Solve for x
    x = 2,651,999,222,016/743,024
  6. Step 6: Final answer
    x = 3,569,197.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.