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Finding the Third Proportional to 1,496,584.13 and 3,282,880.50

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Solution

The third proportional to 1,496,584.13 and 3,282,880.50 is: 7,201,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496,584.13 : 3,282,880.50 = 3,282,880.50 : x
  2. Step 2: Convert to fraction form
    1,496,584.13/3,282,880.50 = 3,282,880.50/x
  3. Step 3: Cross multiply
    1,496,584.13x = 3,282,880.50 × 3,282,880.50
  4. Step 4: Simplify right side
    1,496,584.13x = 10,777,304,377,280.25
  5. Step 5: Solve for x
    x = 10,777,304,377,280.25/1,496,584.13
  6. Step 6: Final answer
    x = 7,201,268.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.