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Finding the Third Proportional to 514,037,305 and 783,108,474

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Solution

The third proportional to 514,037,305 and 783,108,474 is: 1,193,024,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,037,305 : 783,108,474 = 783,108,474 : x
  2. Step 2: Convert to fraction form
    514,037,305/783,108,474 = 783,108,474/x
  3. Step 3: Cross multiply
    514,037,305x = 783,108,474 × 783,108,474
  4. Step 4: Simplify right side
    514,037,305x = 613,258,882,050,608,640
  5. Step 5: Solve for x
    x = 613,258,882,050,608,640/514,037,305
  6. Step 6: Final answer
    x = 1,193,024,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.