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Finding the Third Proportional to 447,632 and 983,472

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Solution

The third proportional to 447,632 and 983,472 is: 2,160,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,632 : 983,472 = 983,472 : x
  2. Step 2: Convert to fraction form
    447,632/983,472 = 983,472/x
  3. Step 3: Cross multiply
    447,632x = 983,472 × 983,472
  4. Step 4: Simplify right side
    447,632x = 967,217,174,784
  5. Step 5: Solve for x
    x = 967,217,174,784/447,632
  6. Step 6: Final answer
    x = 2,160,741.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.