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Finding the Third Proportional to 520,073 and 1,135,856

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Solution

The third proportional to 520,073 and 1,135,856 is: 2,480,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,073 : 1,135,856 = 1,135,856 : x
  2. Step 2: Convert to fraction form
    520,073/1,135,856 = 1,135,856/x
  3. Step 3: Cross multiply
    520,073x = 1,135,856 × 1,135,856
  4. Step 4: Simplify right side
    520,073x = 1,290,168,852,736
  5. Step 5: Solve for x
    x = 1,290,168,852,736/520,073
  6. Step 6: Final answer
    x = 2,480,745.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.