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Finding the Third Proportional to 1,043,193.30 and 2,224,173.30

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Solution

The third proportional to 1,043,193.30 and 2,224,173.30 is: 4,742,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,193.30 : 2,224,173.30 = 2,224,173.30 : x
  2. Step 2: Convert to fraction form
    1,043,193.30/2,224,173.30 = 2,224,173.30/x
  3. Step 3: Cross multiply
    1,043,193.30x = 2,224,173.30 × 2,224,173.30
  4. Step 4: Simplify right side
    1,043,193.30x = 4,946,946,889,284.51
  5. Step 5: Solve for x
    x = 4,946,946,889,284.51/1,043,193.30
  6. Step 6: Final answer
    x = 4,742,119.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.