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Finding the Third Proportional to 453,085,104 and 699,027,860

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Solution

The third proportional to 453,085,104 and 699,027,860 is: 1,078,472,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,085,104 : 699,027,860 = 699,027,860 : x
  2. Step 2: Convert to fraction form
    453,085,104/699,027,860 = 699,027,860/x
  3. Step 3: Cross multiply
    453,085,104x = 699,027,860 × 699,027,860
  4. Step 4: Simplify right side
    453,085,104x = 488,639,949,056,179,584
  5. Step 5: Solve for x
    x = 488,639,949,056,179,584/453,085,104
  6. Step 6: Final answer
    x = 1,078,472,774.19

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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.