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Finding the Third Proportional to 650,909 and 1,333,530

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Solution

The third proportional to 650,909 and 1,333,530 is: 2,732,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,909 : 1,333,530 = 1,333,530 : x
  2. Step 2: Convert to fraction form
    650,909/1,333,530 = 1,333,530/x
  3. Step 3: Cross multiply
    650,909x = 1,333,530 × 1,333,530
  4. Step 4: Simplify right side
    650,909x = 1,778,302,260,900
  5. Step 5: Solve for x
    x = 1,778,302,260,900/650,909
  6. Step 6: Final answer
    x = 2,732,028.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.