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Finding the Third Proportional to 591,563,484 and 1,276,659,288

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Solution

The third proportional to 591,563,484 and 1,276,659,288 is: 2,755,171,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,563,484 : 1,276,659,288 = 1,276,659,288 : x
  2. Step 2: Convert to fraction form
    591,563,484/1,276,659,288 = 1,276,659,288/x
  3. Step 3: Cross multiply
    591,563,484x = 1,276,659,288 × 1,276,659,288
  4. Step 4: Simplify right side
    591,563,484x = 1,629,858,937,636,666,880
  5. Step 5: Solve for x
    x = 1,629,858,937,636,666,880/591,563,484
  6. Step 6: Final answer
    x = 2,755,171,645.51

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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.