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Finding the Third Proportional to 2,822,306 and 4,239,816

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Solution

The third proportional to 2,822,306 and 4,239,816 is: 6,369,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822,306 : 4,239,816 = 4,239,816 : x
  2. Step 2: Convert to fraction form
    2,822,306/4,239,816 = 4,239,816/x
  3. Step 3: Cross multiply
    2,822,306x = 4,239,816 × 4,239,816
  4. Step 4: Simplify right side
    2,822,306x = 17,976,039,713,856
  5. Step 5: Solve for x
    x = 17,976,039,713,856/2,822,306
  6. Step 6: Final answer
    x = 6,369,273.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.