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Finding the Third Proportional to 728,181 and 1,596,330

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Solution

The third proportional to 728,181 and 1,596,330 is: 3,499,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,181 : 1,596,330 = 1,596,330 : x
  2. Step 2: Convert to fraction form
    728,181/1,596,330 = 1,596,330/x
  3. Step 3: Cross multiply
    728,181x = 1,596,330 × 1,596,330
  4. Step 4: Simplify right side
    728,181x = 2,548,269,468,900
  5. Step 5: Solve for x
    x = 2,548,269,468,900/728,181
  6. Step 6: Final answer
    x = 3,499,500.08

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Why These Related Problems?

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