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Finding the Third Proportional to 615,024 and 1,260,666

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Solution

The third proportional to 615,024 and 1,260,666 is: 2,584,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,024 : 1,260,666 = 1,260,666 : x
  2. Step 2: Convert to fraction form
    615,024/1,260,666 = 1,260,666/x
  3. Step 3: Cross multiply
    615,024x = 1,260,666 × 1,260,666
  4. Step 4: Simplify right side
    615,024x = 1,589,278,763,556
  5. Step 5: Solve for x
    x = 1,589,278,763,556/615,024
  6. Step 6: Final answer
    x = 2,584,092.27

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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.