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Finding the Third Proportional to 552,256 and 1,209,913

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Solution

The third proportional to 552,256 and 1,209,913 is: 2,650,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,256 : 1,209,913 = 1,209,913 : x
  2. Step 2: Convert to fraction form
    552,256/1,209,913 = 1,209,913/x
  3. Step 3: Cross multiply
    552,256x = 1,209,913 × 1,209,913
  4. Step 4: Simplify right side
    552,256x = 1,463,889,467,569
  5. Step 5: Solve for x
    x = 1,463,889,467,569/552,256
  6. Step 6: Final answer
    x = 2,650,744.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.