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Finding the Third Proportional to 466,617 and 999,567

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Solution

The third proportional to 466,617 and 999,567 is: 2,141,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,617 : 999,567 = 999,567 : x
  2. Step 2: Convert to fraction form
    466,617/999,567 = 999,567/x
  3. Step 3: Cross multiply
    466,617x = 999,567 × 999,567
  4. Step 4: Simplify right side
    466,617x = 999,134,187,489
  5. Step 5: Solve for x
    x = 999,134,187,489/466,617
  6. Step 6: Final answer
    x = 2,141,229.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.