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Finding the Third Proportional to 461,982,380 and 1,027,256,742

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Solution

The third proportional to 461,982,380 and 1,027,256,742 is: 2,284,191,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,982,380 : 1,027,256,742 = 1,027,256,742 : x
  2. Step 2: Convert to fraction form
    461,982,380/1,027,256,742 = 1,027,256,742/x
  3. Step 3: Cross multiply
    461,982,380x = 1,027,256,742 × 1,027,256,742
  4. Step 4: Simplify right side
    461,982,380x = 1,055,256,413,984,454,528
  5. Step 5: Solve for x
    x = 1,055,256,413,984,454,528/461,982,380
  6. Step 6: Final answer
    x = 2,284,191,907.89

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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.