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Finding the Third Proportional to 551,489,476 and 1,194,887,600

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Solution

The third proportional to 551,489,476 and 1,194,887,600 is: 2,588,909,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,489,476 : 1,194,887,600 = 1,194,887,600 : x
  2. Step 2: Convert to fraction form
    551,489,476/1,194,887,600 = 1,194,887,600/x
  3. Step 3: Cross multiply
    551,489,476x = 1,194,887,600 × 1,194,887,600
  4. Step 4: Simplify right side
    551,489,476x = 1,427,756,376,633,760,000
  5. Step 5: Solve for x
    x = 1,427,756,376,633,760,000/551,489,476
  6. Step 6: Final answer
    x = 2,588,909,559.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.