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Finding the Third Proportional to 2,317,740.75 and 3,409,624.13

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Solution

The third proportional to 2,317,740.75 and 3,409,624.13 is: 5,015,891.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,740.75 : 3,409,624.13 = 3,409,624.13 : x
  2. Step 2: Convert to fraction form
    2,317,740.75/3,409,624.13 = 3,409,624.13/x
  3. Step 3: Cross multiply
    2,317,740.75x = 3,409,624.13 × 3,409,624.13
  4. Step 4: Simplify right side
    2,317,740.75x = 11,625,536,673,782.02
  5. Step 5: Solve for x
    x = 11,625,536,673,782.02/2,317,740.75
  6. Step 6: Final answer
    x = 5,015,891.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.