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Finding the Third Proportional to 609,085,498 and 902,567,189

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Solution

The third proportional to 609,085,498 and 902,567,189 is: 1,337,460,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,085,498 : 902,567,189 = 902,567,189 : x
  2. Step 2: Convert to fraction form
    609,085,498/902,567,189 = 902,567,189/x
  3. Step 3: Cross multiply
    609,085,498x = 902,567,189 × 902,567,189
  4. Step 4: Simplify right side
    609,085,498x = 814,627,530,659,361,664
  5. Step 5: Solve for x
    x = 814,627,530,659,361,664/609,085,498
  6. Step 6: Final answer
    x = 1,337,460,066.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.