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Finding the Third Proportional to 946,351 and 2,052,420.50

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Solution

The third proportional to 946,351 and 2,052,420.50 is: 4,451,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,351 : 2,052,420.50 = 2,052,420.50 : x
  2. Step 2: Convert to fraction form
    946,351/2,052,420.50 = 2,052,420.50/x
  3. Step 3: Cross multiply
    946,351x = 2,052,420.50 × 2,052,420.50
  4. Step 4: Simplify right side
    946,351x = 4,212,429,908,820.25
  5. Step 5: Solve for x
    x = 4,212,429,908,820.25/946,351
  6. Step 6: Final answer
    x = 4,451,234.17

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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.