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Finding the Third Proportional to 620,433 and 906,018.75

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Solution

The third proportional to 620,433 and 906,018.75 is: 1,323,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,433 : 906,018.75 = 906,018.75 : x
  2. Step 2: Convert to fraction form
    620,433/906,018.75 = 906,018.75/x
  3. Step 3: Cross multiply
    620,433x = 906,018.75 × 906,018.75
  4. Step 4: Simplify right side
    620,433x = 820,869,975,351.56
  5. Step 5: Solve for x
    x = 820,869,975,351.56/620,433
  6. Step 6: Final answer
    x = 1,323,059.82

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