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Finding the Third Proportional to 2,503,687.50 and 5,406,489

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Solution

The third proportional to 2,503,687.50 and 5,406,489 is: 11,674,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,687.50 : 5,406,489 = 5,406,489 : x
  2. Step 2: Convert to fraction form
    2,503,687.50/5,406,489 = 5,406,489/x
  3. Step 3: Cross multiply
    2,503,687.50x = 5,406,489 × 5,406,489
  4. Step 4: Simplify right side
    2,503,687.50x = 29,230,123,307,121
  5. Step 5: Solve for x
    x = 29,230,123,307,121/2,503,687.50
  6. Step 6: Final answer
    x = 11,674,828.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.