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Finding the Third Proportional to 491,620 and 1,032,680

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Solution

The third proportional to 491,620 and 1,032,680 is: 2,169,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,620 : 1,032,680 = 1,032,680 : x
  2. Step 2: Convert to fraction form
    491,620/1,032,680 = 1,032,680/x
  3. Step 3: Cross multiply
    491,620x = 1,032,680 × 1,032,680
  4. Step 4: Simplify right side
    491,620x = 1,066,427,982,400
  5. Step 5: Solve for x
    x = 1,066,427,982,400/491,620
  6. Step 6: Final answer
    x = 2,169,211.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.