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Finding the Third Proportional to 677,426 and 997,427

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Solution

The third proportional to 677,426 and 997,427 is: 1,468,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,426 : 997,427 = 997,427 : x
  2. Step 2: Convert to fraction form
    677,426/997,427 = 997,427/x
  3. Step 3: Cross multiply
    677,426x = 997,427 × 997,427
  4. Step 4: Simplify right side
    677,426x = 994,860,620,329
  5. Step 5: Solve for x
    x = 994,860,620,329/677,426
  6. Step 6: Final answer
    x = 1,468,589.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.