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Finding the Third Proportional to 862,956.50 and 1,877,418.50

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Solution

The third proportional to 862,956.50 and 1,877,418.50 is: 4,084,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,956.50 : 1,877,418.50 = 1,877,418.50 : x
  2. Step 2: Convert to fraction form
    862,956.50/1,877,418.50 = 1,877,418.50/x
  3. Step 3: Cross multiply
    862,956.50x = 1,877,418.50 × 1,877,418.50
  4. Step 4: Simplify right side
    862,956.50x = 3,524,700,224,142.25
  5. Step 5: Solve for x
    x = 3,524,700,224,142.25/862,956.50
  6. Step 6: Final answer
    x = 4,084,447.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.