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Finding the Third Proportional to 565,595.25 and 1,226,166

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Solution

The third proportional to 565,595.25 and 1,226,166 is: 2,658,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,595.25 : 1,226,166 = 1,226,166 : x
  2. Step 2: Convert to fraction form
    565,595.25/1,226,166 = 1,226,166/x
  3. Step 3: Cross multiply
    565,595.25x = 1,226,166 × 1,226,166
  4. Step 4: Simplify right side
    565,595.25x = 1,503,483,059,556
  5. Step 5: Solve for x
    x = 1,503,483,059,556/565,595.25
  6. Step 6: Final answer
    x = 2,658,231.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.