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Finding the Third Proportional to 605,477 and 963,620

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Solution

The third proportional to 605,477 and 963,620 is: 1,533,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,477 : 963,620 = 963,620 : x
  2. Step 2: Convert to fraction form
    605,477/963,620 = 963,620/x
  3. Step 3: Cross multiply
    605,477x = 963,620 × 963,620
  4. Step 4: Simplify right side
    605,477x = 928,563,504,400
  5. Step 5: Solve for x
    x = 928,563,504,400/605,477
  6. Step 6: Final answer
    x = 1,533,606.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.