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Finding the Third Proportional to 453,085,106 and 699,027,863

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Solution

The third proportional to 453,085,106 and 699,027,863 is: 1,078,472,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,085,106 : 699,027,863 = 699,027,863 : x
  2. Step 2: Convert to fraction form
    453,085,106/699,027,863 = 699,027,863/x
  3. Step 3: Cross multiply
    453,085,106x = 699,027,863 × 699,027,863
  4. Step 4: Simplify right side
    453,085,106x = 488,639,953,250,346,752
  5. Step 5: Solve for x
    x = 488,639,953,250,346,752/453,085,106
  6. Step 6: Final answer
    x = 1,078,472,778.69

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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.