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Finding the Third Proportional to 3,724,645.50 and 5,695,264.50

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Solution

The third proportional to 3,724,645.50 and 5,695,264.50 is: 8,708,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724,645.50 : 5,695,264.50 = 5,695,264.50 : x
  2. Step 2: Convert to fraction form
    3,724,645.50/5,695,264.50 = 5,695,264.50/x
  3. Step 3: Cross multiply
    3,724,645.50x = 5,695,264.50 × 5,695,264.50
  4. Step 4: Simplify right side
    3,724,645.50x = 32,436,037,724,960.25
  5. Step 5: Solve for x
    x = 32,436,037,724,960.25/3,724,645.50
  6. Step 6: Final answer
    x = 8,708,489.90

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