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Finding the Third Proportional to 2,369,177.50 and 3,464,912.63

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Solution

The third proportional to 2,369,177.50 and 3,464,912.63 is: 5,067,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,177.50 : 3,464,912.63 = 3,464,912.63 : x
  2. Step 2: Convert to fraction form
    2,369,177.50/3,464,912.63 = 3,464,912.63/x
  3. Step 3: Cross multiply
    2,369,177.50x = 3,464,912.63 × 3,464,912.63
  4. Step 4: Simplify right side
    2,369,177.50x = 12,005,619,498,884.39
  5. Step 5: Solve for x
    x = 12,005,619,498,884.39/2,369,177.50
  6. Step 6: Final answer
    x = 5,067,420.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.