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Finding the Third Proportional to 672,834,143 and 983,707,041

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Solution

The third proportional to 672,834,143 and 983,707,041 is: 1,438,214,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,834,143 : 983,707,041 = 983,707,041 : x
  2. Step 2: Convert to fraction form
    672,834,143/983,707,041 = 983,707,041/x
  3. Step 3: Cross multiply
    672,834,143x = 983,707,041 × 983,707,041
  4. Step 4: Simplify right side
    672,834,143x = 967,679,542,512,975,744
  5. Step 5: Solve for x
    x = 967,679,542,512,975,744/672,834,143
  6. Step 6: Final answer
    x = 1,438,214,086.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.