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Finding the Third Proportional to 1,123,224 and 2,423,592

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Solution

The third proportional to 1,123,224 and 2,423,592 is: 5,229,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,224 : 2,423,592 = 2,423,592 : x
  2. Step 2: Convert to fraction form
    1,123,224/2,423,592 = 2,423,592/x
  3. Step 3: Cross multiply
    1,123,224x = 2,423,592 × 2,423,592
  4. Step 4: Simplify right side
    1,123,224x = 5,873,798,182,464
  5. Step 5: Solve for x
    x = 5,873,798,182,464/1,123,224
  6. Step 6: Final answer
    x = 5,229,409.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.