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Finding the Third Proportional to 800,378,397 and 1,734,342,804

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Solution

The third proportional to 800,378,397 and 1,734,342,804 is: 3,758,153,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,378,397 : 1,734,342,804 = 1,734,342,804 : x
  2. Step 2: Convert to fraction form
    800,378,397/1,734,342,804 = 1,734,342,804/x
  3. Step 3: Cross multiply
    800,378,397x = 1,734,342,804 × 1,734,342,804
  4. Step 4: Simplify right side
    800,378,397x = 3,007,944,961,786,582,528
  5. Step 5: Solve for x
    x = 3,007,944,961,786,582,528/800,378,397
  6. Step 6: Final answer
    x = 3,758,153,609.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.