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Finding the Third Proportional to 3,428,900.75 and 4,701,956.63

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Solution

The third proportional to 3,428,900.75 and 4,701,956.63 is: 6,447,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,900.75 : 4,701,956.63 = 4,701,956.63 : x
  2. Step 2: Convert to fraction form
    3,428,900.75/4,701,956.63 = 4,701,956.63/x
  3. Step 3: Cross multiply
    3,428,900.75x = 4,701,956.63 × 4,701,956.63
  4. Step 4: Simplify right side
    3,428,900.75x = 22,108,396,103,381.39
  5. Step 5: Solve for x
    x = 22,108,396,103,381.39/3,428,900.75
  6. Step 6: Final answer
    x = 6,447,662.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.