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Finding the Third Proportional to 647,142 and 979,762

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Solution

The third proportional to 647,142 and 979,762 is: 1,483,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,142 : 979,762 = 979,762 : x
  2. Step 2: Convert to fraction form
    647,142/979,762 = 979,762/x
  3. Step 3: Cross multiply
    647,142x = 979,762 × 979,762
  4. Step 4: Simplify right side
    647,142x = 959,933,576,644
  5. Step 5: Solve for x
    x = 959,933,576,644/647,142
  6. Step 6: Final answer
    x = 1,483,343.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.