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Finding the Third Proportional to 902,804,971 and 1,271,348,343

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Solution

The third proportional to 902,804,971 and 1,271,348,343 is: 1,790,338,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,804,971 : 1,271,348,343 = 1,271,348,343 : x
  2. Step 2: Convert to fraction form
    902,804,971/1,271,348,343 = 1,271,348,343/x
  3. Step 3: Cross multiply
    902,804,971x = 1,271,348,343 × 1,271,348,343
  4. Step 4: Simplify right side
    902,804,971x = 1,616,326,609,248,845,568
  5. Step 5: Solve for x
    x = 1,616,326,609,248,845,568/902,804,971
  6. Step 6: Final answer
    x = 1,790,338,623.70

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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.