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Finding the Third Proportional to 536,895 and 1,157,861.25

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Solution

The third proportional to 536,895 and 1,157,861.25 is: 2,497,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,895 : 1,157,861.25 = 1,157,861.25 : x
  2. Step 2: Convert to fraction form
    536,895/1,157,861.25 = 1,157,861.25/x
  3. Step 3: Cross multiply
    536,895x = 1,157,861.25 × 1,157,861.25
  4. Step 4: Simplify right side
    536,895x = 1,340,642,674,251.56
  5. Step 5: Solve for x
    x = 1,340,642,674,251.56/536,895
  6. Step 6: Final answer
    x = 2,497,029.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.