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Finding the Third Proportional to 1,038,908,797 and 2,285,595,713

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Solution

The third proportional to 1,038,908,797 and 2,285,595,713 is: 5,028,302,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,908,797 : 2,285,595,713 = 2,285,595,713 : x
  2. Step 2: Convert to fraction form
    1,038,908,797/2,285,595,713 = 2,285,595,713/x
  3. Step 3: Cross multiply
    1,038,908,797x = 2,285,595,713 × 2,285,595,713
  4. Step 4: Simplify right side
    1,038,908,797x = 5,223,947,763,283,978,240
  5. Step 5: Solve for x
    x = 5,223,947,763,283,978,240/1,038,908,797
  6. Step 6: Final answer
    x = 5,028,302,559.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.