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Finding the Third Proportional to 413,157 and 875,922

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Solution

The third proportional to 413,157 and 875,922 is: 1,857,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,157 : 875,922 = 875,922 : x
  2. Step 2: Convert to fraction form
    413,157/875,922 = 875,922/x
  3. Step 3: Cross multiply
    413,157x = 875,922 × 875,922
  4. Step 4: Simplify right side
    413,157x = 767,239,350,084
  5. Step 5: Solve for x
    x = 767,239,350,084/413,157
  6. Step 6: Final answer
    x = 1,857,016.46

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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.