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Finding the Third Proportional to 736,172.63 and 1,099,861.13

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Solution

The third proportional to 736,172.63 and 1,099,861.13 is: 1,643,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,172.63 : 1,099,861.13 = 1,099,861.13 : x
  2. Step 2: Convert to fraction form
    736,172.63/1,099,861.13 = 1,099,861.13/x
  3. Step 3: Cross multiply
    736,172.63x = 1,099,861.13 × 1,099,861.13
  4. Step 4: Simplify right side
    736,172.63x = 1,209,694,494,286.27
  5. Step 5: Solve for x
    x = 1,209,694,494,286.27/736,172.63
  6. Step 6: Final answer
    x = 1,643,221.24

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Why These Related Problems?

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