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Finding the Third Proportional to 492,288 and 1,070,976

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Solution

The third proportional to 492,288 and 1,070,976 is: 2,329,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,288 : 1,070,976 = 1,070,976 : x
  2. Step 2: Convert to fraction form
    492,288/1,070,976 = 1,070,976/x
  3. Step 3: Cross multiply
    492,288x = 1,070,976 × 1,070,976
  4. Step 4: Simplify right side
    492,288x = 1,146,989,592,576
  5. Step 5: Solve for x
    x = 1,146,989,592,576/492,288
  6. Step 6: Final answer
    x = 2,329,915.81

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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.