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Finding the Third Proportional to 2,636,458 and 5,756,180

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Solution

The third proportional to 2,636,458 and 5,756,180 is: 12,567,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636,458 : 5,756,180 = 5,756,180 : x
  2. Step 2: Convert to fraction form
    2,636,458/5,756,180 = 5,756,180/x
  3. Step 3: Cross multiply
    2,636,458x = 5,756,180 × 5,756,180
  4. Step 4: Simplify right side
    2,636,458x = 33,133,608,192,400
  5. Step 5: Solve for x
    x = 33,133,608,192,400/2,636,458
  6. Step 6: Final answer
    x = 12,567,470.52

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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.