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Finding the Third Proportional to 617,756 and 1,353,610

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Solution

The third proportional to 617,756 and 1,353,610 is: 2,965,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,756 : 1,353,610 = 1,353,610 : x
  2. Step 2: Convert to fraction form
    617,756/1,353,610 = 1,353,610/x
  3. Step 3: Cross multiply
    617,756x = 1,353,610 × 1,353,610
  4. Step 4: Simplify right side
    617,756x = 1,832,260,032,100
  5. Step 5: Solve for x
    x = 1,832,260,032,100/617,756
  6. Step 6: Final answer
    x = 2,965,993.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.