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Finding the Third Proportional to 410,082 and 883,028

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Solution

The third proportional to 410,082 and 883,028 is: 1,901,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,082 : 883,028 = 883,028 : x
  2. Step 2: Convert to fraction form
    410,082/883,028 = 883,028/x
  3. Step 3: Cross multiply
    410,082x = 883,028 × 883,028
  4. Step 4: Simplify right side
    410,082x = 779,738,448,784
  5. Step 5: Solve for x
    x = 779,738,448,784/410,082
  6. Step 6: Final answer
    x = 1,901,420.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.