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Finding the Third Proportional to 522,609 and 1,144,806

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Solution

The third proportional to 522,609 and 1,144,806 is: 2,507,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,609 : 1,144,806 = 1,144,806 : x
  2. Step 2: Convert to fraction form
    522,609/1,144,806 = 1,144,806/x
  3. Step 3: Cross multiply
    522,609x = 1,144,806 × 1,144,806
  4. Step 4: Simplify right side
    522,609x = 1,310,580,777,636
  5. Step 5: Solve for x
    x = 1,310,580,777,636/522,609
  6. Step 6: Final answer
    x = 2,507,765.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.