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Finding the Third Proportional to 322,406,714 and 699,551,844

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Solution

The third proportional to 322,406,714 and 699,551,844 is: 1,517,874,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,714 : 699,551,844 = 699,551,844 : x
  2. Step 2: Convert to fraction form
    322,406,714/699,551,844 = 699,551,844/x
  3. Step 3: Cross multiply
    322,406,714x = 699,551,844 × 699,551,844
  4. Step 4: Simplify right side
    322,406,714x = 489,372,782,443,800,320
  5. Step 5: Solve for x
    x = 489,372,782,443,800,320/322,406,714
  6. Step 6: Final answer
    x = 1,517,874,042.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.