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Finding the Third Proportional to 622,389 and 929,596

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Solution

The third proportional to 622,389 and 929,596 is: 1,388,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,389 : 929,596 = 929,596 : x
  2. Step 2: Convert to fraction form
    622,389/929,596 = 929,596/x
  3. Step 3: Cross multiply
    622,389x = 929,596 × 929,596
  4. Step 4: Simplify right side
    622,389x = 864,148,723,216
  5. Step 5: Solve for x
    x = 864,148,723,216/622,389
  6. Step 6: Final answer
    x = 1,388,438.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.