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Finding the Third Proportional to 741,324 and 1,615,704

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Solution

The third proportional to 741,324 and 1,615,704 is: 3,521,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,324 : 1,615,704 = 1,615,704 : x
  2. Step 2: Convert to fraction form
    741,324/1,615,704 = 1,615,704/x
  3. Step 3: Cross multiply
    741,324x = 1,615,704 × 1,615,704
  4. Step 4: Simplify right side
    741,324x = 2,610,499,415,616
  5. Step 5: Solve for x
    x = 2,610,499,415,616/741,324
  6. Step 6: Final answer
    x = 3,521,401.46

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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.