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Finding the Third Proportional to 519,607,916 and 1,130,687,756

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Solution

The third proportional to 519,607,916 and 1,130,687,756 is: 2,460,422,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,607,916 : 1,130,687,756 = 1,130,687,756 : x
  2. Step 2: Convert to fraction form
    519,607,916/1,130,687,756 = 1,130,687,756/x
  3. Step 3: Cross multiply
    519,607,916x = 1,130,687,756 × 1,130,687,756
  4. Step 4: Simplify right side
    519,607,916x = 1,278,454,801,568,315,648
  5. Step 5: Solve for x
    x = 1,278,454,801,568,315,648/519,607,916
  6. Step 6: Final answer
    x = 2,460,422,103.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.