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Finding the Third Proportional to 621,973 and 952,617

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Solution

The third proportional to 621,973 and 952,617 is: 1,459,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,973 : 952,617 = 952,617 : x
  2. Step 2: Convert to fraction form
    621,973/952,617 = 952,617/x
  3. Step 3: Cross multiply
    621,973x = 952,617 × 952,617
  4. Step 4: Simplify right side
    621,973x = 907,479,148,689
  5. Step 5: Solve for x
    x = 907,479,148,689/621,973
  6. Step 6: Final answer
    x = 1,459,033.03

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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.