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Finding the Third Proportional to 443,703,820 and 692,416,739

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Solution

The third proportional to 443,703,820 and 692,416,739 is: 1,080,542,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,703,820 : 692,416,739 = 692,416,739 : x
  2. Step 2: Convert to fraction form
    443,703,820/692,416,739 = 692,416,739/x
  3. Step 3: Cross multiply
    443,703,820x = 692,416,739 × 692,416,739
  4. Step 4: Simplify right side
    443,703,820x = 479,440,940,447,394,112
  5. Step 5: Solve for x
    x = 479,440,940,447,394,112/443,703,820
  6. Step 6: Final answer
    x = 1,080,542,737.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.