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Finding the Third Proportional to 497,530 and 1,060,100

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Solution

The third proportional to 497,530 and 1,060,100 is: 2,258,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,530 : 1,060,100 = 1,060,100 : x
  2. Step 2: Convert to fraction form
    497,530/1,060,100 = 1,060,100/x
  3. Step 3: Cross multiply
    497,530x = 1,060,100 × 1,060,100
  4. Step 4: Simplify right side
    497,530x = 1,123,812,010,000
  5. Step 5: Solve for x
    x = 1,123,812,010,000/497,530
  6. Step 6: Final answer
    x = 2,258,782.41

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.