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Finding the Third Proportional to 413,132 and 875,859

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Solution

The third proportional to 413,132 and 875,859 is: 1,856,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,132 : 875,859 = 875,859 : x
  2. Step 2: Convert to fraction form
    413,132/875,859 = 875,859/x
  3. Step 3: Cross multiply
    413,132x = 875,859 × 875,859
  4. Step 4: Simplify right side
    413,132x = 767,128,987,881
  5. Step 5: Solve for x
    x = 767,128,987,881/413,132
  6. Step 6: Final answer
    x = 1,856,861.70

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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.