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Finding the Third Proportional to 410,848 and 900,128

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Solution

The third proportional to 410,848 and 900,128 is: 1,972,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,848 : 900,128 = 900,128 : x
  2. Step 2: Convert to fraction form
    410,848/900,128 = 900,128/x
  3. Step 3: Cross multiply
    410,848x = 900,128 × 900,128
  4. Step 4: Simplify right side
    410,848x = 810,230,416,384
  5. Step 5: Solve for x
    x = 810,230,416,384/410,848
  6. Step 6: Final answer
    x = 1,972,092.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.