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Finding the Third Proportional to 524,734,299.38 and 1,148,317,038.75

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Solution

The third proportional to 524,734,299.38 and 1,148,317,038.75 is: 2,512,951,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,734,299.38 : 1,148,317,038.75 = 1,148,317,038.75 : x
  2. Step 2: Convert to fraction form
    524,734,299.38/1,148,317,038.75 = 1,148,317,038.75/x
  3. Step 3: Cross multiply
    524,734,299.38x = 1,148,317,038.75 × 1,148,317,038.75
  4. Step 4: Simplify right side
    524,734,299.38x = 1,318,632,021,483,568,896
  5. Step 5: Solve for x
    x = 1,318,632,021,483,568,896/524,734,299.38
  6. Step 6: Final answer
    x = 2,512,951,836.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.