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Finding the Third Proportional to 728,012 and 1,102,203

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Solution

The third proportional to 728,012 and 1,102,203 is: 1,668,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,012 : 1,102,203 = 1,102,203 : x
  2. Step 2: Convert to fraction form
    728,012/1,102,203 = 1,102,203/x
  3. Step 3: Cross multiply
    728,012x = 1,102,203 × 1,102,203
  4. Step 4: Simplify right side
    728,012x = 1,214,851,453,209
  5. Step 5: Solve for x
    x = 1,214,851,453,209/728,012
  6. Step 6: Final answer
    x = 1,668,724.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.