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Finding the Third Proportional to 1,219,441.50 and 1,811,475

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Solution

The third proportional to 1,219,441.50 and 1,811,475 is: 2,690,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,441.50 : 1,811,475 = 1,811,475 : x
  2. Step 2: Convert to fraction form
    1,219,441.50/1,811,475 = 1,811,475/x
  3. Step 3: Cross multiply
    1,219,441.50x = 1,811,475 × 1,811,475
  4. Step 4: Simplify right side
    1,219,441.50x = 3,281,441,675,625
  5. Step 5: Solve for x
    x = 3,281,441,675,625/1,219,441.50
  6. Step 6: Final answer
    x = 2,690,938.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.