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Finding the Third Proportional to 1,277,461 and 2,781,722

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Solution

The third proportional to 1,277,461 and 2,781,722 is: 6,057,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,461 : 2,781,722 = 2,781,722 : x
  2. Step 2: Convert to fraction form
    1,277,461/2,781,722 = 2,781,722/x
  3. Step 3: Cross multiply
    1,277,461x = 2,781,722 × 2,781,722
  4. Step 4: Simplify right side
    1,277,461x = 7,737,977,285,284
  5. Step 5: Solve for x
    x = 7,737,977,285,284/1,277,461
  6. Step 6: Final answer
    x = 6,057,310.00

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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.