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Finding the Third Proportional to 413,162 and 875,929

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Solution

The third proportional to 413,162 and 875,929 is: 1,857,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,162 : 875,929 = 875,929 : x
  2. Step 2: Convert to fraction form
    413,162/875,929 = 875,929/x
  3. Step 3: Cross multiply
    413,162x = 875,929 × 875,929
  4. Step 4: Simplify right side
    413,162x = 767,251,613,041
  5. Step 5: Solve for x
    x = 767,251,613,041/413,162
  6. Step 6: Final answer
    x = 1,857,023.67

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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.