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Finding the Third Proportional to 946,505 and 2,052,708

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Solution

The third proportional to 946,505 and 2,052,708 is: 4,451,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,505 : 2,052,708 = 2,052,708 : x
  2. Step 2: Convert to fraction form
    946,505/2,052,708 = 2,052,708/x
  3. Step 3: Cross multiply
    946,505x = 2,052,708 × 2,052,708
  4. Step 4: Simplify right side
    946,505x = 4,213,610,133,264
  5. Step 5: Solve for x
    x = 4,213,610,133,264/946,505
  6. Step 6: Final answer
    x = 4,451,756.87

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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.