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Finding the Third Proportional to 672,324 and 1,434,504

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Solution

The third proportional to 672,324 and 1,434,504 is: 3,060,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,324 : 1,434,504 = 1,434,504 : x
  2. Step 2: Convert to fraction form
    672,324/1,434,504 = 1,434,504/x
  3. Step 3: Cross multiply
    672,324x = 1,434,504 × 1,434,504
  4. Step 4: Simplify right side
    672,324x = 2,057,801,726,016
  5. Step 5: Solve for x
    x = 2,057,801,726,016/672,324
  6. Step 6: Final answer
    x = 3,060,729.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.