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Finding the Third Proportional to 410,160 and 892,128

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Solution

The third proportional to 410,160 and 892,128 is: 1,940,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,160 : 892,128 = 892,128 : x
  2. Step 2: Convert to fraction form
    410,160/892,128 = 892,128/x
  3. Step 3: Cross multiply
    410,160x = 892,128 × 892,128
  4. Step 4: Simplify right side
    410,160x = 795,892,368,384
  5. Step 5: Solve for x
    x = 795,892,368,384/410,160
  6. Step 6: Final answer
    x = 1,940,443.65

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Why These Related Problems?

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