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Finding the Third Proportional to 764,681,427 and 1,180,801,893

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Solution

The third proportional to 764,681,427 and 1,180,801,893 is: 1,823,364,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,681,427 : 1,180,801,893 = 1,180,801,893 : x
  2. Step 2: Convert to fraction form
    764,681,427/1,180,801,893 = 1,180,801,893/x
  3. Step 3: Cross multiply
    764,681,427x = 1,180,801,893 × 1,180,801,893
  4. Step 4: Simplify right side
    764,681,427x = 1,394,293,110,512,383,488
  5. Step 5: Solve for x
    x = 1,394,293,110,512,383,488/764,681,427
  6. Step 6: Final answer
    x = 1,823,364,686.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.