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Finding the Third Proportional to 856,638.75 and 1,827,274.75

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Solution

The third proportional to 856,638.75 and 1,827,274.75 is: 3,897,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,638.75 : 1,827,274.75 = 1,827,274.75 : x
  2. Step 2: Convert to fraction form
    856,638.75/1,827,274.75 = 1,827,274.75/x
  3. Step 3: Cross multiply
    856,638.75x = 1,827,274.75 × 1,827,274.75
  4. Step 4: Simplify right side
    856,638.75x = 3,338,933,011,987.56
  5. Step 5: Solve for x
    x = 3,338,933,011,987.56/856,638.75
  6. Step 6: Final answer
    x = 3,897,714.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.