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Finding the Third Proportional to 689,042 and 1,477,708

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Solution

The third proportional to 689,042 and 1,477,708 is: 3,169,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,042 : 1,477,708 = 1,477,708 : x
  2. Step 2: Convert to fraction form
    689,042/1,477,708 = 1,477,708/x
  3. Step 3: Cross multiply
    689,042x = 1,477,708 × 1,477,708
  4. Step 4: Simplify right side
    689,042x = 2,183,620,933,264
  5. Step 5: Solve for x
    x = 2,183,620,933,264/689,042
  6. Step 6: Final answer
    x = 3,169,067.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.