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Finding the Third Proportional to 449,704.13 and 917,472.38

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Solution

The third proportional to 449,704.13 and 917,472.38 is: 1,871,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,704.13 : 917,472.38 = 917,472.38 : x
  2. Step 2: Convert to fraction form
    449,704.13/917,472.38 = 917,472.38/x
  3. Step 3: Cross multiply
    449,704.13x = 917,472.38 × 917,472.38
  4. Step 4: Simplify right side
    449,704.13x = 841,755,558,888.14
  5. Step 5: Solve for x
    x = 841,755,558,888.14/449,704.13
  6. Step 6: Final answer
    x = 1,871,798.62

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.