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Finding the Third Proportional to 693,477 and 1,500,669

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Solution

The third proportional to 693,477 and 1,500,669 is: 3,247,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,477 : 1,500,669 = 1,500,669 : x
  2. Step 2: Convert to fraction form
    693,477/1,500,669 = 1,500,669/x
  3. Step 3: Cross multiply
    693,477x = 1,500,669 × 1,500,669
  4. Step 4: Simplify right side
    693,477x = 2,252,007,447,561
  5. Step 5: Solve for x
    x = 2,252,007,447,561/693,477
  6. Step 6: Final answer
    x = 3,247,414.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.