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Finding the Third Proportional to 609,085,452 and 902,567,142

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Solution

The third proportional to 609,085,452 and 902,567,142 is: 1,337,460,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,085,452 : 902,567,142 = 902,567,142 : x
  2. Step 2: Convert to fraction form
    609,085,452/902,567,142 = 902,567,142/x
  3. Step 3: Cross multiply
    609,085,452x = 902,567,142 × 902,567,142
  4. Step 4: Simplify right side
    609,085,452x = 814,627,445,818,048,128
  5. Step 5: Solve for x
    x = 814,627,445,818,048,128/609,085,452
  6. Step 6: Final answer
    x = 1,337,460,028.22

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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.