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Finding the Third Proportional to 728,178 and 1,596,324

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Solution

The third proportional to 728,178 and 1,596,324 is: 3,499,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,178 : 1,596,324 = 1,596,324 : x
  2. Step 2: Convert to fraction form
    728,178/1,596,324 = 1,596,324/x
  3. Step 3: Cross multiply
    728,178x = 1,596,324 × 1,596,324
  4. Step 4: Simplify right side
    728,178x = 2,548,250,312,976
  5. Step 5: Solve for x
    x = 2,548,250,312,976/728,178
  6. Step 6: Final answer
    x = 3,499,488.19

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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.