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Finding the Third Proportional to 609,085,454 and 902,567,145

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Solution

The third proportional to 609,085,454 and 902,567,145 is: 1,337,460,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,085,454 : 902,567,145 = 902,567,145 : x
  2. Step 2: Convert to fraction form
    609,085,454/902,567,145 = 902,567,145/x
  3. Step 3: Cross multiply
    609,085,454x = 902,567,145 × 902,567,145
  4. Step 4: Simplify right side
    609,085,454x = 814,627,451,233,451,008
  5. Step 5: Solve for x
    x = 814,627,451,233,451,008/609,085,454
  6. Step 6: Final answer
    x = 1,337,460,032.72

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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.