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Finding the Third Proportional to 1,223,824 and 1,720,369

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Solution

The third proportional to 1,223,824 and 1,720,369 is: 2,418,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,824 : 1,720,369 = 1,720,369 : x
  2. Step 2: Convert to fraction form
    1,223,824/1,720,369 = 1,720,369/x
  3. Step 3: Cross multiply
    1,223,824x = 1,720,369 × 1,720,369
  4. Step 4: Simplify right side
    1,223,824x = 2,959,669,496,161
  5. Step 5: Solve for x
    x = 2,959,669,496,161/1,223,824
  6. Step 6: Final answer
    x = 2,418,378.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.