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Finding the Third Proportional to 902,804,976 and 1,271,348,349

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Solution

The third proportional to 902,804,976 and 1,271,348,349 is: 1,790,338,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,804,976 : 1,271,348,349 = 1,271,348,349 : x
  2. Step 2: Convert to fraction form
    902,804,976/1,271,348,349 = 1,271,348,349/x
  3. Step 3: Cross multiply
    902,804,976x = 1,271,348,349 × 1,271,348,349
  4. Step 4: Simplify right side
    902,804,976x = 1,616,326,624,505,025,792
  5. Step 5: Solve for x
    x = 1,616,326,624,505,025,792/902,804,976
  6. Step 6: Final answer
    x = 1,790,338,630.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.