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Finding the Third Proportional to 634,757,993 and 980,436,041

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Solution

The third proportional to 634,757,993 and 980,436,041 is: 1,514,364,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,757,993 : 980,436,041 = 980,436,041 : x
  2. Step 2: Convert to fraction form
    634,757,993/980,436,041 = 980,436,041/x
  3. Step 3: Cross multiply
    634,757,993x = 980,436,041 × 980,436,041
  4. Step 4: Simplify right side
    634,757,993x = 961,254,830,491,753,728
  5. Step 5: Solve for x
    x = 961,254,830,491,753,728/634,757,993
  6. Step 6: Final answer
    x = 1,514,364,279.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.