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Finding the Third Proportional to 340,273,564 and 746,424,824

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Solution

The third proportional to 340,273,564 and 746,424,824 is: 1,637,359,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,273,564 : 746,424,824 = 746,424,824 : x
  2. Step 2: Convert to fraction form
    340,273,564/746,424,824 = 746,424,824/x
  3. Step 3: Cross multiply
    340,273,564x = 746,424,824 × 746,424,824
  4. Step 4: Simplify right side
    340,273,564x = 557,150,017,883,430,976
  5. Step 5: Solve for x
    x = 557,150,017,883,430,976/340,273,564
  6. Step 6: Final answer
    x = 1,637,359,104.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.