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Finding the Third Proportional to 513,895 and 1,106,529

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Solution

The third proportional to 513,895 and 1,106,529 is: 2,382,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,895 : 1,106,529 = 1,106,529 : x
  2. Step 2: Convert to fraction form
    513,895/1,106,529 = 1,106,529/x
  3. Step 3: Cross multiply
    513,895x = 1,106,529 × 1,106,529
  4. Step 4: Simplify right side
    513,895x = 1,224,406,427,841
  5. Step 5: Solve for x
    x = 1,224,406,427,841/513,895
  6. Step 6: Final answer
    x = 2,382,600.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.