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Finding the Third Proportional to 905,477 and 1,225,351

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Solution

The third proportional to 905,477 and 1,225,351 is: 1,658,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,477 : 1,225,351 = 1,225,351 : x
  2. Step 2: Convert to fraction form
    905,477/1,225,351 = 1,225,351/x
  3. Step 3: Cross multiply
    905,477x = 1,225,351 × 1,225,351
  4. Step 4: Simplify right side
    905,477x = 1,501,485,073,201
  5. Step 5: Solve for x
    x = 1,501,485,073,201/905,477
  6. Step 6: Final answer
    x = 1,658,225.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.