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Finding the Third Proportional to 890,858.25 and 1,434,337.88

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Solution

The third proportional to 890,858.25 and 1,434,337.88 is: 2,309,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,858.25 : 1,434,337.88 = 1,434,337.88 : x
  2. Step 2: Convert to fraction form
    890,858.25/1,434,337.88 = 1,434,337.88/x
  3. Step 3: Cross multiply
    890,858.25x = 1,434,337.88 × 1,434,337.88
  4. Step 4: Simplify right side
    890,858.25x = 2,057,325,139,659.52
  5. Step 5: Solve for x
    x = 2,057,325,139,659.52/890,858.25
  6. Step 6: Final answer
    x = 2,309,374.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.