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Finding the Third Proportional to 1,946,166.75 and 2,903,136.19

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Solution

The third proportional to 1,946,166.75 and 2,903,136.19 is: 4,330,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946,166.75 : 2,903,136.19 = 2,903,136.19 : x
  2. Step 2: Convert to fraction form
    1,946,166.75/2,903,136.19 = 2,903,136.19/x
  3. Step 3: Cross multiply
    1,946,166.75x = 2,903,136.19 × 2,903,136.19
  4. Step 4: Simplify right side
    1,946,166.75x = 8,428,199,723,172.04
  5. Step 5: Solve for x
    x = 8,428,199,723,172.04/1,946,166.75
  6. Step 6: Final answer
    x = 4,330,666.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.