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Finding the Third Proportional to 413,130 and 875,855

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Solution

The third proportional to 413,130 and 875,855 is: 1,856,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,130 : 875,855 = 875,855 : x
  2. Step 2: Convert to fraction form
    413,130/875,855 = 875,855/x
  3. Step 3: Cross multiply
    413,130x = 875,855 × 875,855
  4. Step 4: Simplify right side
    413,130x = 767,121,981,025
  5. Step 5: Solve for x
    x = 767,121,981,025/413,130
  6. Step 6: Final answer
    x = 1,856,853.73

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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.