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Finding the Third Proportional to 2,704,893 and 5,711,574

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Solution

The third proportional to 2,704,893 and 5,711,574 is: 12,060,394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,893 : 5,711,574 = 5,711,574 : x
  2. Step 2: Convert to fraction form
    2,704,893/5,711,574 = 5,711,574/x
  3. Step 3: Cross multiply
    2,704,893x = 5,711,574 × 5,711,574
  4. Step 4: Simplify right side
    2,704,893x = 32,622,077,557,476
  5. Step 5: Solve for x
    x = 32,622,077,557,476/2,704,893
  6. Step 6: Final answer
    x = 12,060,394.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.