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Finding the Third Proportional to 516,051 and 1,094,796

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Solution

The third proportional to 516,051 and 1,094,796 is: 2,322,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,051 : 1,094,796 = 1,094,796 : x
  2. Step 2: Convert to fraction form
    516,051/1,094,796 = 1,094,796/x
  3. Step 3: Cross multiply
    516,051x = 1,094,796 × 1,094,796
  4. Step 4: Simplify right side
    516,051x = 1,198,578,281,616
  5. Step 5: Solve for x
    x = 1,198,578,281,616/516,051
  6. Step 6: Final answer
    x = 2,322,596.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.