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Finding the Third Proportional to 945,257.63 and 1,418,577.38

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Solution

The third proportional to 945,257.63 and 1,418,577.38 is: 2,128,902.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,257.63 : 1,418,577.38 = 1,418,577.38 : x
  2. Step 2: Convert to fraction form
    945,257.63/1,418,577.38 = 1,418,577.38/x
  3. Step 3: Cross multiply
    945,257.63x = 1,418,577.38 × 1,418,577.38
  4. Step 4: Simplify right side
    945,257.63x = 2,012,361,768,861.89
  5. Step 5: Solve for x
    x = 2,012,361,768,861.89/945,257.63
  6. Step 6: Final answer
    x = 2,128,902.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.