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Finding the Third Proportional to 1,500,610.50 and 2,327,086.50

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Solution

The third proportional to 1,500,610.50 and 2,327,086.50 is: 3,608,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,610.50 : 2,327,086.50 = 2,327,086.50 : x
  2. Step 2: Convert to fraction form
    1,500,610.50/2,327,086.50 = 2,327,086.50/x
  3. Step 3: Cross multiply
    1,500,610.50x = 2,327,086.50 × 2,327,086.50
  4. Step 4: Simplify right side
    1,500,610.50x = 5,415,331,578,482.25
  5. Step 5: Solve for x
    x = 5,415,331,578,482.25/1,500,610.50
  6. Step 6: Final answer
    x = 3,608,752.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.