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Finding the Third Proportional to 474,750,954 and 1,000,512,468

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Solution

The third proportional to 474,750,954 and 1,000,512,468 is: 2,108,526,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,750,954 : 1,000,512,468 = 1,000,512,468 : x
  2. Step 2: Convert to fraction form
    474,750,954/1,000,512,468 = 1,000,512,468/x
  3. Step 3: Cross multiply
    474,750,954x = 1,000,512,468 × 1,000,512,468
  4. Step 4: Simplify right side
    474,750,954x = 1,001,025,198,623,451,008
  5. Step 5: Solve for x
    x = 1,001,025,198,623,451,008/474,750,954
  6. Step 6: Final answer
    x = 2,108,526,987.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.