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Finding the Third Proportional to 494,592 and 1,068,032

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Solution

The third proportional to 494,592 and 1,068,032 is: 2,306,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,592 : 1,068,032 = 1,068,032 : x
  2. Step 2: Convert to fraction form
    494,592/1,068,032 = 1,068,032/x
  3. Step 3: Cross multiply
    494,592x = 1,068,032 × 1,068,032
  4. Step 4: Simplify right side
    494,592x = 1,140,692,353,024
  5. Step 5: Solve for x
    x = 1,140,692,353,024/494,592
  6. Step 6: Final answer
    x = 2,306,329.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.