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Finding the Third Proportional to 830,928 and 1,807,680

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Solution

The third proportional to 830,928 and 1,807,680 is: 3,932,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,928 : 1,807,680 = 1,807,680 : x
  2. Step 2: Convert to fraction form
    830,928/1,807,680 = 1,807,680/x
  3. Step 3: Cross multiply
    830,928x = 1,807,680 × 1,807,680
  4. Step 4: Simplify right side
    830,928x = 3,267,706,982,400
  5. Step 5: Solve for x
    x = 3,267,706,982,400/830,928
  6. Step 6: Final answer
    x = 3,932,599.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.