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Finding the Third Proportional to 677,844 and 1,473,732

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Solution

The third proportional to 677,844 and 1,473,732 is: 3,204,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,844 : 1,473,732 = 1,473,732 : x
  2. Step 2: Convert to fraction form
    677,844/1,473,732 = 1,473,732/x
  3. Step 3: Cross multiply
    677,844x = 1,473,732 × 1,473,732
  4. Step 4: Simplify right side
    677,844x = 2,171,886,007,824
  5. Step 5: Solve for x
    x = 2,171,886,007,824/677,844
  6. Step 6: Final answer
    x = 3,204,108.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.