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Finding the Third Proportional to 609,085,446 and 902,567,133

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Solution

The third proportional to 609,085,446 and 902,567,133 is: 1,337,460,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,085,446 : 902,567,133 = 902,567,133 : x
  2. Step 2: Convert to fraction form
    609,085,446/902,567,133 = 902,567,133/x
  3. Step 3: Cross multiply
    609,085,446x = 902,567,133 × 902,567,133
  4. Step 4: Simplify right side
    609,085,446x = 814,627,429,571,839,744
  5. Step 5: Solve for x
    x = 814,627,429,571,839,744/609,085,446
  6. Step 6: Final answer
    x = 1,337,460,014.72

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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.