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Finding the Third Proportional to 1,277,498 and 2,781,796

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Solution

The third proportional to 1,277,498 and 2,781,796 is: 6,057,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,498 : 2,781,796 = 2,781,796 : x
  2. Step 2: Convert to fraction form
    1,277,498/2,781,796 = 2,781,796/x
  3. Step 3: Cross multiply
    1,277,498x = 2,781,796 × 2,781,796
  4. Step 4: Simplify right side
    1,277,498x = 7,738,388,985,616
  5. Step 5: Solve for x
    x = 7,738,388,985,616/1,277,498
  6. Step 6: Final answer
    x = 6,057,456.83

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