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Finding the Third Proportional to 413,138 and 875,875

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Solution

The third proportional to 413,138 and 875,875 is: 1,856,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,138 : 875,875 = 875,875 : x
  2. Step 2: Convert to fraction form
    413,138/875,875 = 875,875/x
  3. Step 3: Cross multiply
    413,138x = 875,875 × 875,875
  4. Step 4: Simplify right side
    413,138x = 767,157,015,625
  5. Step 5: Solve for x
    x = 767,157,015,625/413,138
  6. Step 6: Final answer
    x = 1,856,902.57

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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.