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Finding the Third Proportional to 961,659 and 1,522,764

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Solution

The third proportional to 961,659 and 1,522,764 is: 2,411,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,659 : 1,522,764 = 1,522,764 : x
  2. Step 2: Convert to fraction form
    961,659/1,522,764 = 1,522,764/x
  3. Step 3: Cross multiply
    961,659x = 1,522,764 × 1,522,764
  4. Step 4: Simplify right side
    961,659x = 2,318,810,199,696
  5. Step 5: Solve for x
    x = 2,318,810,199,696/961,659
  6. Step 6: Final answer
    x = 2,411,260.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.