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Finding the Third Proportional to 946,482 and 2,052,658.50

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Solution

The third proportional to 946,482 and 2,052,658.50 is: 4,451,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,482 : 2,052,658.50 = 2,052,658.50 : x
  2. Step 2: Convert to fraction form
    946,482/2,052,658.50 = 2,052,658.50/x
  3. Step 3: Cross multiply
    946,482x = 2,052,658.50 × 2,052,658.50
  4. Step 4: Simplify right side
    946,482x = 4,213,406,917,622.25
  5. Step 5: Solve for x
    x = 4,213,406,917,622.25/946,482
  6. Step 6: Final answer
    x = 4,451,650.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.