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Finding the Third Proportional to 561,516 and 1,228,008

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Solution

The third proportional to 561,516 and 1,228,008 is: 2,685,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,516 : 1,228,008 = 1,228,008 : x
  2. Step 2: Convert to fraction form
    561,516/1,228,008 = 1,228,008/x
  3. Step 3: Cross multiply
    561,516x = 1,228,008 × 1,228,008
  4. Step 4: Simplify right side
    561,516x = 1,508,003,648,064
  5. Step 5: Solve for x
    x = 1,508,003,648,064/561,516
  6. Step 6: Final answer
    x = 2,685,593.37

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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.