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Finding the Third Proportional to 410,886 and 854,028

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Solution

The third proportional to 410,886 and 854,028 is: 1,775,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,886 : 854,028 = 854,028 : x
  2. Step 2: Convert to fraction form
    410,886/854,028 = 854,028/x
  3. Step 3: Cross multiply
    410,886x = 854,028 × 854,028
  4. Step 4: Simplify right side
    410,886x = 729,363,824,784
  5. Step 5: Solve for x
    x = 729,363,824,784/410,886
  6. Step 6: Final answer
    x = 1,775,100.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.