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Finding the Third Proportional to 620,154 and 905,628

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Solution

The third proportional to 620,154 and 905,628 is: 1,322,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,154 : 905,628 = 905,628 : x
  2. Step 2: Convert to fraction form
    620,154/905,628 = 905,628/x
  3. Step 3: Cross multiply
    620,154x = 905,628 × 905,628
  4. Step 4: Simplify right side
    620,154x = 820,162,074,384
  5. Step 5: Solve for x
    x = 820,162,074,384/620,154
  6. Step 6: Final answer
    x = 1,322,513.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.