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Finding the Third Proportional to 647,023 and 979,602

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Solution

The third proportional to 647,023 and 979,602 is: 1,483,131.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,023 : 979,602 = 979,602 : x
  2. Step 2: Convert to fraction form
    647,023/979,602 = 979,602/x
  3. Step 3: Cross multiply
    647,023x = 979,602 × 979,602
  4. Step 4: Simplify right side
    647,023x = 959,620,078,404
  5. Step 5: Solve for x
    x = 959,620,078,404/647,023
  6. Step 6: Final answer
    x = 1,483,131.32

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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.