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Finding the Third Proportional to 629,692 and 1,358,888

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Solution

The third proportional to 629,692 and 1,358,888 is: 2,932,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,692 : 1,358,888 = 1,358,888 : x
  2. Step 2: Convert to fraction form
    629,692/1,358,888 = 1,358,888/x
  3. Step 3: Cross multiply
    629,692x = 1,358,888 × 1,358,888
  4. Step 4: Simplify right side
    629,692x = 1,846,576,596,544
  5. Step 5: Solve for x
    x = 1,846,576,596,544/629,692
  6. Step 6: Final answer
    x = 2,932,507.63

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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.