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Finding the Third Proportional to 546,551,301 and 1,180,190,857

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Solution

The third proportional to 546,551,301 and 1,180,190,857 is: 2,548,434,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,551,301 : 1,180,190,857 = 1,180,190,857 : x
  2. Step 2: Convert to fraction form
    546,551,301/1,180,190,857 = 1,180,190,857/x
  3. Step 3: Cross multiply
    546,551,301x = 1,180,190,857 × 1,180,190,857
  4. Step 4: Simplify right side
    546,551,301x = 1,392,850,458,946,394,368
  5. Step 5: Solve for x
    x = 1,392,850,458,946,394,368/546,551,301
  6. Step 6: Final answer
    x = 2,548,434,989.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.