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Finding the Third Proportional to 1,196,597,794.50 and 1,838,120,724

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Solution

The third proportional to 1,196,597,794.50 and 1,838,120,724 is: 2,823,578,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,597,794.50 : 1,838,120,724 = 1,838,120,724 : x
  2. Step 2: Convert to fraction form
    1,196,597,794.50/1,838,120,724 = 1,838,120,724/x
  3. Step 3: Cross multiply
    1,196,597,794.50x = 1,838,120,724 × 1,838,120,724
  4. Step 4: Simplify right side
    1,196,597,794.50x = 3,378,687,795,998,284,288
  5. Step 5: Solve for x
    x = 3,378,687,795,998,284,288/1,196,597,794.50
  6. Step 6: Final answer
    x = 2,823,578,491.89

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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.