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Finding the Third Proportional to 484,664,162 and 1,043,231,428

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Solution

The third proportional to 484,664,162 and 1,043,231,428 is: 2,245,538,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,664,162 : 1,043,231,428 = 1,043,231,428 : x
  2. Step 2: Convert to fraction form
    484,664,162/1,043,231,428 = 1,043,231,428/x
  3. Step 3: Cross multiply
    484,664,162x = 1,043,231,428 × 1,043,231,428
  4. Step 4: Simplify right side
    484,664,162x = 1,088,331,812,366,919,168
  5. Step 5: Solve for x
    x = 1,088,331,812,366,919,168/484,664,162
  6. Step 6: Final answer
    x = 2,245,538,039.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.