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Finding the Third Proportional to 1,714,381.88 and 3,664,956.38

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Solution

The third proportional to 1,714,381.88 and 3,664,956.38 is: 7,834,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,381.88 : 3,664,956.38 = 3,664,956.38 : x
  2. Step 2: Convert to fraction form
    1,714,381.88/3,664,956.38 = 3,664,956.38/x
  3. Step 3: Cross multiply
    1,714,381.88x = 3,664,956.38 × 3,664,956.38
  4. Step 4: Simplify right side
    1,714,381.88x = 13,431,905,230,653.14
  5. Step 5: Solve for x
    x = 13,431,905,230,653.14/1,714,381.88
  6. Step 6: Final answer
    x = 7,834,838.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.