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Finding the Third Proportional to 741,665 and 1,615,522

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Solution

The third proportional to 741,665 and 1,615,522 is: 3,518,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,665 : 1,615,522 = 1,615,522 : x
  2. Step 2: Convert to fraction form
    741,665/1,615,522 = 1,615,522/x
  3. Step 3: Cross multiply
    741,665x = 1,615,522 × 1,615,522
  4. Step 4: Simplify right side
    741,665x = 2,609,911,332,484
  5. Step 5: Solve for x
    x = 2,609,911,332,484/741,665
  6. Step 6: Final answer
    x = 3,518,989.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.