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Finding the Third Proportional to 623,868 and 1,277,245.50

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Solution

The third proportional to 623,868 and 1,277,245.50 is: 2,614,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,868 : 1,277,245.50 = 1,277,245.50 : x
  2. Step 2: Convert to fraction form
    623,868/1,277,245.50 = 1,277,245.50/x
  3. Step 3: Cross multiply
    623,868x = 1,277,245.50 × 1,277,245.50
  4. Step 4: Simplify right side
    623,868x = 1,631,356,067,270.25
  5. Step 5: Solve for x
    x = 1,631,356,067,270.25/623,868
  6. Step 6: Final answer
    x = 2,614,905.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.