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Finding the Third Proportional to 1,180,535,556 and 1,764,296,758

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Solution

The third proportional to 1,180,535,556 and 1,764,296,758 is: 2,636,721,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,535,556 : 1,764,296,758 = 1,764,296,758 : x
  2. Step 2: Convert to fraction form
    1,180,535,556/1,764,296,758 = 1,764,296,758/x
  3. Step 3: Cross multiply
    1,180,535,556x = 1,764,296,758 × 1,764,296,758
  4. Step 4: Simplify right side
    1,180,535,556x = 3,112,743,050,289,310,720
  5. Step 5: Solve for x
    x = 3,112,743,050,289,310,720/1,180,535,556
  6. Step 6: Final answer
    x = 2,636,721,134.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.