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Finding the Third Proportional to 902,804,984 and 1,271,348,360

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Solution

The third proportional to 902,804,984 and 1,271,348,360 is: 1,790,338,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,804,984 : 1,271,348,360 = 1,271,348,360 : x
  2. Step 2: Convert to fraction form
    902,804,984/1,271,348,360 = 1,271,348,360/x
  3. Step 3: Cross multiply
    902,804,984x = 1,271,348,360 × 1,271,348,360
  4. Step 4: Simplify right side
    902,804,984x = 1,616,326,652,474,689,536
  5. Step 5: Solve for x
    x = 1,616,326,652,474,689,536/902,804,984
  6. Step 6: Final answer
    x = 1,790,338,645.80

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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.