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Finding the Third Proportional to 816,147 and 1,776,852

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Solution

The third proportional to 816,147 and 1,776,852 is: 3,868,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,147 : 1,776,852 = 1,776,852 : x
  2. Step 2: Convert to fraction form
    816,147/1,776,852 = 1,776,852/x
  3. Step 3: Cross multiply
    816,147x = 1,776,852 × 1,776,852
  4. Step 4: Simplify right side
    816,147x = 3,157,203,029,904
  5. Step 5: Solve for x
    x = 3,157,203,029,904/816,147
  6. Step 6: Final answer
    x = 3,868,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.