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Finding the Third Proportional to 611,704 and 1,266,416

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Solution

The third proportional to 611,704 and 1,266,416 is: 2,621,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,704 : 1,266,416 = 1,266,416 : x
  2. Step 2: Convert to fraction form
    611,704/1,266,416 = 1,266,416/x
  3. Step 3: Cross multiply
    611,704x = 1,266,416 × 1,266,416
  4. Step 4: Simplify right side
    611,704x = 1,603,809,485,056
  5. Step 5: Solve for x
    x = 1,603,809,485,056/611,704
  6. Step 6: Final answer
    x = 2,621,871.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.