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Finding the Third Proportional to 1,529,063 and 2,429,197.50

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Solution

The third proportional to 1,529,063 and 2,429,197.50 is: 3,859,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,063 : 2,429,197.50 = 2,429,197.50 : x
  2. Step 2: Convert to fraction form
    1,529,063/2,429,197.50 = 2,429,197.50/x
  3. Step 3: Cross multiply
    1,529,063x = 2,429,197.50 × 2,429,197.50
  4. Step 4: Simplify right side
    1,529,063x = 5,901,000,494,006.25
  5. Step 5: Solve for x
    x = 5,901,000,494,006.25/1,529,063
  6. Step 6: Final answer
    x = 3,859,226.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.