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Finding the Third Proportional to 961,515 and 2,051,723

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Solution

The third proportional to 961,515 and 2,051,723 is: 4,378,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,515 : 2,051,723 = 2,051,723 : x
  2. Step 2: Convert to fraction form
    961,515/2,051,723 = 2,051,723/x
  3. Step 3: Cross multiply
    961,515x = 2,051,723 × 2,051,723
  4. Step 4: Simplify right side
    961,515x = 4,209,567,268,729
  5. Step 5: Solve for x
    x = 4,209,567,268,729/961,515
  6. Step 6: Final answer
    x = 4,378,056.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.