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Finding the Third Proportional to 461,982,416 and 1,027,256,815

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Solution

The third proportional to 461,982,416 and 1,027,256,815 is: 2,284,192,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,982,416 : 1,027,256,815 = 1,027,256,815 : x
  2. Step 2: Convert to fraction form
    461,982,416/1,027,256,815 = 1,027,256,815/x
  3. Step 3: Cross multiply
    461,982,416x = 1,027,256,815 × 1,027,256,815
  4. Step 4: Simplify right side
    461,982,416x = 1,055,256,563,963,944,192
  5. Step 5: Solve for x
    x = 1,055,256,563,963,944,192/461,982,416
  6. Step 6: Final answer
    x = 2,284,192,054.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.