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Finding the Third Proportional to 609,085,446.75 and 902,567,134.13

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Solution

The third proportional to 609,085,446.75 and 902,567,134.13 is: 1,337,460,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,085,446.75 : 902,567,134.13 = 902,567,134.13 : x
  2. Step 2: Convert to fraction form
    609,085,446.75/902,567,134.13 = 902,567,134.13/x
  3. Step 3: Cross multiply
    609,085,446.75x = 902,567,134.13 × 902,567,134.13
  4. Step 4: Simplify right side
    609,085,446.75x = 814,627,431,602,615,680
  5. Step 5: Solve for x
    x = 814,627,431,602,615,680/609,085,446.75
  6. Step 6: Final answer
    x = 1,337,460,016.41

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Why These Related Problems?

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