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Finding the Third Proportional to 728,024 and 1,102,212

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Solution

The third proportional to 728,024 and 1,102,212 is: 1,668,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,024 : 1,102,212 = 1,102,212 : x
  2. Step 2: Convert to fraction form
    728,024/1,102,212 = 1,102,212/x
  3. Step 3: Cross multiply
    728,024x = 1,102,212 × 1,102,212
  4. Step 4: Simplify right side
    728,024x = 1,214,871,292,944
  5. Step 5: Solve for x
    x = 1,214,871,292,944/728,024
  6. Step 6: Final answer
    x = 1,668,724.24

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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.