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Finding the Third Proportional to 1,938,819 and 2,960,716.50

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Solution

The third proportional to 1,938,819 and 2,960,716.50 is: 4,521,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,819 : 2,960,716.50 = 2,960,716.50 : x
  2. Step 2: Convert to fraction form
    1,938,819/2,960,716.50 = 2,960,716.50/x
  3. Step 3: Cross multiply
    1,938,819x = 2,960,716.50 × 2,960,716.50
  4. Step 4: Simplify right side
    1,938,819x = 8,765,842,193,372.25
  5. Step 5: Solve for x
    x = 8,765,842,193,372.25/1,938,819
  6. Step 6: Final answer
    x = 4,521,227.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.