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Finding the Third Proportional to 629,724 and 1,358,952

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Solution

The third proportional to 629,724 and 1,358,952 is: 2,932,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,724 : 1,358,952 = 1,358,952 : x
  2. Step 2: Convert to fraction form
    629,724/1,358,952 = 1,358,952/x
  3. Step 3: Cross multiply
    629,724x = 1,358,952 × 1,358,952
  4. Step 4: Simplify right side
    629,724x = 1,846,750,538,304
  5. Step 5: Solve for x
    x = 1,846,750,538,304/629,724
  6. Step 6: Final answer
    x = 2,932,634.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.