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Finding the Third Proportional to 536,347,946 and 820,116,687

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Solution

The third proportional to 536,347,946 and 820,116,687 is: 1,254,020,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,347,946 : 820,116,687 = 820,116,687 : x
  2. Step 2: Convert to fraction form
    536,347,946/820,116,687 = 820,116,687/x
  3. Step 3: Cross multiply
    536,347,946x = 820,116,687 × 820,116,687
  4. Step 4: Simplify right side
    536,347,946x = 672,591,380,295,856,000
  5. Step 5: Solve for x
    x = 672,591,380,295,856,000/536,347,946
  6. Step 6: Final answer
    x = 1,254,020,613.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.