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Finding the Third Proportional to 854,128 and 1,813,610

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Solution

The third proportional to 854,128 and 1,813,610 is: 3,850,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,128 : 1,813,610 = 1,813,610 : x
  2. Step 2: Convert to fraction form
    854,128/1,813,610 = 1,813,610/x
  3. Step 3: Cross multiply
    854,128x = 1,813,610 × 1,813,610
  4. Step 4: Simplify right side
    854,128x = 3,289,181,232,100
  5. Step 5: Solve for x
    x = 3,289,181,232,100/854,128
  6. Step 6: Final answer
    x = 3,850,923.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.