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Finding the Third Proportional to 319,044,410 and 694,076,020

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Solution

The third proportional to 319,044,410 and 694,076,020 is: 1,509,951,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,044,410 : 694,076,020 = 694,076,020 : x
  2. Step 2: Convert to fraction form
    319,044,410/694,076,020 = 694,076,020/x
  3. Step 3: Cross multiply
    319,044,410x = 694,076,020 × 694,076,020
  4. Step 4: Simplify right side
    319,044,410x = 481,741,521,539,040,384
  5. Step 5: Solve for x
    x = 481,741,521,539,040,384/319,044,410
  6. Step 6: Final answer
    x = 1,509,951,299.69

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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.