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Finding the Third Proportional to 621,006 and 949,617

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Solution

The third proportional to 621,006 and 949,617 is: 1,452,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,006 : 949,617 = 949,617 : x
  2. Step 2: Convert to fraction form
    621,006/949,617 = 949,617/x
  3. Step 3: Cross multiply
    621,006x = 949,617 × 949,617
  4. Step 4: Simplify right side
    621,006x = 901,772,446,689
  5. Step 5: Solve for x
    x = 901,772,446,689/621,006
  6. Step 6: Final answer
    x = 1,452,115.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.