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Finding the Third Proportional to 539,104,564 and 770,392,910

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Solution

The third proportional to 539,104,564 and 770,392,910 is: 1,100,909,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,104,564 : 770,392,910 = 770,392,910 : x
  2. Step 2: Convert to fraction form
    539,104,564/770,392,910 = 770,392,910/x
  3. Step 3: Cross multiply
    539,104,564x = 770,392,910 × 770,392,910
  4. Step 4: Simplify right side
    539,104,564x = 593,505,235,778,268,160
  5. Step 5: Solve for x
    x = 593,505,235,778,268,160/539,104,564
  6. Step 6: Final answer
    x = 1,100,909,314.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.