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Finding the Third Proportional to 984,136.50 and 1,606,999.50

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Solution

The third proportional to 984,136.50 and 1,606,999.50 is: 2,624,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,136.50 : 1,606,999.50 = 1,606,999.50 : x
  2. Step 2: Convert to fraction form
    984,136.50/1,606,999.50 = 1,606,999.50/x
  3. Step 3: Cross multiply
    984,136.50x = 1,606,999.50 × 1,606,999.50
  4. Step 4: Simplify right side
    984,136.50x = 2,582,447,393,000.25
  5. Step 5: Solve for x
    x = 2,582,447,393,000.25/984,136.50
  6. Step 6: Final answer
    x = 2,624,074.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.