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Finding the Third Proportional to 2,364,505.50 and 3,668,742

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Solution

The third proportional to 2,364,505.50 and 3,668,742 is: 5,692,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364,505.50 : 3,668,742 = 3,668,742 : x
  2. Step 2: Convert to fraction form
    2,364,505.50/3,668,742 = 3,668,742/x
  3. Step 3: Cross multiply
    2,364,505.50x = 3,668,742 × 3,668,742
  4. Step 4: Simplify right side
    2,364,505.50x = 13,459,667,862,564
  5. Step 5: Solve for x
    x = 13,459,667,862,564/2,364,505.50
  6. Step 6: Final answer
    x = 5,692,381.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.