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Finding the Third Proportional to 874,348,569 and 1,250,328,736

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Solution

The third proportional to 874,348,569 and 1,250,328,736 is: 1,787,984,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,348,569 : 1,250,328,736 = 1,250,328,736 : x
  2. Step 2: Convert to fraction form
    874,348,569/1,250,328,736 = 1,250,328,736/x
  3. Step 3: Cross multiply
    874,348,569x = 1,250,328,736 × 1,250,328,736
  4. Step 4: Simplify right side
    874,348,569x = 1,563,321,948,067,357,696
  5. Step 5: Solve for x
    x = 1,563,321,948,067,357,696/874,348,569
  6. Step 6: Final answer
    x = 1,787,984,796.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.