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Finding the Third Proportional to 922,504,002 and 1,485,535,260

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Solution

The third proportional to 922,504,002 and 1,485,535,260 is: 2,392,201,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,504,002 : 1,485,535,260 = 1,485,535,260 : x
  2. Step 2: Convert to fraction form
    922,504,002/1,485,535,260 = 1,485,535,260/x
  3. Step 3: Cross multiply
    922,504,002x = 1,485,535,260 × 1,485,535,260
  4. Step 4: Simplify right side
    922,504,002x = 2,206,815,008,703,267,584
  5. Step 5: Solve for x
    x = 2,206,815,008,703,267,584/922,504,002
  6. Step 6: Final answer
    x = 2,392,201,013.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.