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Finding the Third Proportional to 2,705,784 and 5,635,458

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Solution

The third proportional to 2,705,784 and 5,635,458 is: 11,737,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705,784 : 5,635,458 = 5,635,458 : x
  2. Step 2: Convert to fraction form
    2,705,784/5,635,458 = 5,635,458/x
  3. Step 3: Cross multiply
    2,705,784x = 5,635,458 × 5,635,458
  4. Step 4: Simplify right side
    2,705,784x = 31,758,386,869,764
  5. Step 5: Solve for x
    x = 31,758,386,869,764/2,705,784
  6. Step 6: Final answer
    x = 11,737,221.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.