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Finding the Third Proportional to 1,197,224 and 2,660,169

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Solution

The third proportional to 1,197,224 and 2,660,169 is: 5,910,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,224 : 2,660,169 = 2,660,169 : x
  2. Step 2: Convert to fraction form
    1,197,224/2,660,169 = 2,660,169/x
  3. Step 3: Cross multiply
    1,197,224x = 2,660,169 × 2,660,169
  4. Step 4: Simplify right side
    1,197,224x = 7,076,499,108,561
  5. Step 5: Solve for x
    x = 7,076,499,108,561/1,197,224
  6. Step 6: Final answer
    x = 5,910,756.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.