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Finding the Third Proportional to 561,245,934 and 1,224,481,884

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Solution

The third proportional to 561,245,934 and 1,224,481,884 is: 2,671,477,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,245,934 : 1,224,481,884 = 1,224,481,884 : x
  2. Step 2: Convert to fraction form
    561,245,934/1,224,481,884 = 1,224,481,884/x
  3. Step 3: Cross multiply
    561,245,934x = 1,224,481,884 × 1,224,481,884
  4. Step 4: Simplify right side
    561,245,934x = 1,499,355,884,244,189,440
  5. Step 5: Solve for x
    x = 1,499,355,884,244,189,440/561,245,934
  6. Step 6: Final answer
    x = 2,671,477,499.28

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