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Finding the Third Proportional to 659,735,433 and 969,408,270

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Solution

The third proportional to 659,735,433 and 969,408,270 is: 1,424,438,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,735,433 : 969,408,270 = 969,408,270 : x
  2. Step 2: Convert to fraction form
    659,735,433/969,408,270 = 969,408,270/x
  3. Step 3: Cross multiply
    659,735,433x = 969,408,270 × 969,408,270
  4. Step 4: Simplify right side
    659,735,433x = 939,752,393,944,392,960
  5. Step 5: Solve for x
    x = 939,752,393,944,392,960/659,735,433
  6. Step 6: Final answer
    x = 1,424,438,262.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.