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Finding the Third Proportional to 506,472 and 1,183,236

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Solution

The third proportional to 506,472 and 1,183,236 is: 2,764,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,472 : 1,183,236 = 1,183,236 : x
  2. Step 2: Convert to fraction form
    506,472/1,183,236 = 1,183,236/x
  3. Step 3: Cross multiply
    506,472x = 1,183,236 × 1,183,236
  4. Step 4: Simplify right side
    506,472x = 1,400,047,431,696
  5. Step 5: Solve for x
    x = 1,400,047,431,696/506,472
  6. Step 6: Final answer
    x = 2,764,313.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.