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Finding the Third Proportional to 3,882,465 and 6,005,400.75

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Solution

The third proportional to 3,882,465 and 6,005,400.75 is: 9,289,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882,465 : 6,005,400.75 = 6,005,400.75 : x
  2. Step 2: Convert to fraction form
    3,882,465/6,005,400.75 = 6,005,400.75/x
  3. Step 3: Cross multiply
    3,882,465x = 6,005,400.75 × 6,005,400.75
  4. Step 4: Simplify right side
    3,882,465x = 36,064,838,168,100.56
  5. Step 5: Solve for x
    x = 36,064,838,168,100.56/3,882,465
  6. Step 6: Final answer
    x = 9,289,159.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.