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Finding the Third Proportional to 494,128 and 1,077,472

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Solution

The third proportional to 494,128 and 1,077,472 is: 2,349,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,128 : 1,077,472 = 1,077,472 : x
  2. Step 2: Convert to fraction form
    494,128/1,077,472 = 1,077,472/x
  3. Step 3: Cross multiply
    494,128x = 1,077,472 × 1,077,472
  4. Step 4: Simplify right side
    494,128x = 1,160,945,910,784
  5. Step 5: Solve for x
    x = 1,160,945,910,784/494,128
  6. Step 6: Final answer
    x = 2,349,484.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.