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Finding the Third Proportional to 1,430,524.50 and 2,160,366

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Solution

The third proportional to 1,430,524.50 and 2,160,366 is: 3,262,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,524.50 : 2,160,366 = 2,160,366 : x
  2. Step 2: Convert to fraction form
    1,430,524.50/2,160,366 = 2,160,366/x
  3. Step 3: Cross multiply
    1,430,524.50x = 2,160,366 × 2,160,366
  4. Step 4: Simplify right side
    1,430,524.50x = 4,667,181,253,956
  5. Step 5: Solve for x
    x = 4,667,181,253,956/1,430,524.50
  6. Step 6: Final answer
    x = 3,262,566.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.